Feedback form
Hi! What do you think?

You can also email us on infocalculat.io

LCM for 60 and 210

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 210?

Answer

LCM of 60 and 210 is 420

(Four hundred twenty)

Finding LCM for 60 and 210 using GCF of these numbers

The first method to find LCM for numbers 60 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 210 is 30, so

LCM = (60 × 210) ÷ 30

LCM = 12600 ÷ 30

LCM = 420

Finding LCM for 60 and 210 by Listing Multiples

The second method to find LCM for numbers 60 and 210 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540

Multiples of 210: 210, 420, 630, 840

So the LCM for 60 and 210 is 420

Finding LCM for 60 and 210 by Prime Factorization

Another method to find LCM for numbers 60 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

22 × 31 × 51 × 71 = 420

Related Calculations

See Also

Share This Calculation
Print
https://calculat.io/en/number/least-common-multiple-lcm-of/60--210Copy
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/60--210">What is the LCM of 60 and 210? - Calculatio</a>Copy
Facebook
Twitter
Telegram
WhatsApp
Viber
Email
What is the LCM of 60 and 210?. Find the LCM of 60 and 210 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/60--210/generated.jpgCopy

LCM Table

Number 1 Number 2 LCM
45 210 630
46 210 4830
47 210 9870
48 210 1680
49 210 1470
50 210 1050
51 210 3570
52 210 5460
53 210 11130
54 210 1890
55 210 2310
56 210 840
57 210 3990
58 210 6090
59 210 12390
60 210 420
61 210 12810
62 210 6510
63 210 630
64 210 6720
65 210 2730
66 210 2310
67 210 14070
68 210 7140
69 210 4830
70 210 210
71 210 14910
72 210 2520
73 210 15330
74 210 7770

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 60 and 210? (The answer is: 420). Select the first number (e.g. '60') and the second number (e.g. '210'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 60 and 210?
LCM of 60 and 210 is 420

How to find the LCM of 60 and 210 using prime factorization?
To find the LCM of 60 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 60 and 210: LCM = 420, GCF = 30.

See Also