LCM for 12 and 60

What's the Least Common Multiple (LCM) of 12 and 60?

Answer: LCM of 12 and 60 is 60

(Sixty)

Finding LCM for 12 and 60 using GCF's of these numbers

The first method to find LCM for numbers 12 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 60 is 12, so

LCM = (12 × 60) ÷ 12

LCM = 720 ÷ 12

LCM = 60

Finding LCM for 12 and 60 by Listing Multiples

The second method to find LCM for numbers 12 and 60 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, [...], 60

So the LCM for 12 and 60 is 60

Finding LCM for 12 and 60 by Prime Factorization

Another method to find LCM for numbers 12 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

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

22 × 31 × 51 = 60

See Also

LCM Table

Number 1Number 2LCM
16060
26060
36060
46060
56060
66060
760420
860
960180
106060
1160660
1260
1360780
1460420
1560
1660240
17601020
1860
19601140
2060
2160420
2260660
23601380
2460
2560
2660780
2760540
2860420
29601740
3060

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 12 and 60? (The answer is: 60). Select the first number (e.g. '12') 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

FAQ

What's the Least Common Multiple (LCM) of 12 and 60?

LCM of 12 and 60 is 60