LCM for 60 and 84

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 84?

Answer

LCM of 60 and 84 is 420

(Four hundred twenty)

Finding LCM for 60 and 84 using GCF of these numbers

The first method to find LCM for numbers 60 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 84 is 12, so

LCM = (60 × 84) ÷ 12

LCM = 5040 ÷ 12

LCM = 420

Finding LCM for 60 and 84 by Listing Multiples

The second method to find LCM for numbers 60 and 84 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 84: 84, 168, 252, 336, 420, 504, 588

So the LCM for 60 and 84 is 420

Finding LCM for 60 and 84 by Prime Factorization

Another method to find LCM for numbers 60 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

22 × 31 × 51 × 71 = 420

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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 84? (The answer is: 420). Select the first number (e.g. '60') and the second number (e.g. '84'). 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

LCM Table

Number 1Number 2LCM
45841260
46841932
47843948
4884336
4984588
50842100
51841428
52841092
53844452
5484756
55844620
5684168
57841596
58842436
59844956
6084420
61845124
62842604
6384252
64841344
65845460
6684924
67845628
68841428
69841932
7084420
71845964
7284504
73846132
74843108

FAQ

What's the Least Common Multiple (LCM) of 60 and 84?

LCM of 60 and 84 is 420

How to find the LCM of 60 and 84 using prime factorization?

To find the LCM of 60 and 84, 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 84: LCM = 420, GCF = 12.

See Also