LCM for 21 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 21 and 60?

Answer

LCM of 21 and 60 is 420

(Four hundred twenty)

Finding LCM for 21 and 60 using GCF of these numbers

The first method to find LCM for numbers 21 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 60 is 3, so

LCM = (21 × 60) ÷ 3

LCM = 1260 ÷ 3

LCM = 420

Finding LCM for 21 and 60 by Listing Multiples

The second method to find LCM for numbers 21 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462

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

So the LCM for 21 and 60 is 420

Finding LCM for 21 and 60 by Prime Factorization

Another method to find LCM for numbers 21 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

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

31 × 71 × 22 × 51 = 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 21 and 60? (The answer is: 420). Select the first number (e.g. '21') and the second number (e.g. '60'). 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
66060
760420
860120
960180
106060
1160660
126060
1360780
1460420
156060
1660240
17601020
1860180
19601140
206060
2160420
2260660
23601380
2460120
2560300
2660780
2760540
2860420
29601740
306060
31601860
3260480
3360660
34601020
3560420

FAQ

What's the Least Common Multiple (LCM) of 21 and 60?

LCM of 21 and 60 is 420

How to find the LCM of 21 and 60 using prime factorization?

To find the LCM of 21 and 60, 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 21 and 60: LCM = 420, GCF = 3.

See Also