LCM for 15 and 39

What's the Least Common Multiple (LCM) of 15 and 39?

Answer: LCM of 15 and 39 is 195

(One hundred ninety-five)

Finding LCM for 15 and 39 using GCF's of these numbers

The first method to find LCM for numbers 15 and 39 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 39 is 3, so

LCM = (15 × 39) ÷ 3

LCM = 585 ÷ 3

LCM = 195

Finding LCM for 15 and 39 by Listing Multiples

The second method to find LCM for numbers 15 and 39 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225

Multiples of 39: 39, 78, 117, 156, 195, 234, 273

So the LCM for 15 and 39 is 195

Finding LCM for 15 and 39 by Prime Factorization

Another method to find LCM for numbers 15 and 39 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

All Prime Factors of 39: 3, 13 (exponent form: 31, 131)

31 × 51 × 131 = 195

Related Calculations

See Also

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 15 and 39? (The answer is: 195). Select the first number (e.g. '15') and the second number (e.g. '39'). 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

LCM Table

Number 1Number 2LCM
13939
23978
33939
439156
539195
63978
739273
839312
939117
1039390
1139429
1239156
1339
1439546
1539
1639624
1739663
1839234
1939741
2039780
2139273
2239858
2339897
2439312
2539975
2639
2739351
28391092
29391131
3039390

FAQ

What's the Least Common Multiple (LCM) of 15 and 39?

LCM of 15 and 39 is 195