LCM for 39 and 104

What's the Least Common Multiple (LCM) of 39 and 104?

Answer: LCM of 39 and 104 is 312

(Three hundred twelve)

Finding LCM for 39 and 104 using GCF's of these numbers

The first method to find LCM for numbers 39 and 104 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 39 and 104 is 13, so

LCM = (39 × 104) ÷ 13

LCM = 4056 ÷ 13

LCM = 312

Finding LCM for 39 and 104 by Listing Multiples

The second method to find LCM for numbers 39 and 104 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390

Multiples of 104: 104, 208, 312, 416, 520

So the LCM for 39 and 104 is 312

Finding LCM for 39 and 104 by Prime Factorization

Another method to find LCM for numbers 39 and 104 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 104: 2, 2, 2, 13 (exponent form: 23, 131)

31 × 131 × 23 = 312

LCM Table

Number 1Number 2LCM
24104312
251042600
26104104
271042808
28104728
291043016
301041560
311043224
32104416
331043432
341041768
351043640
36104936
371043848
381041976
39104
40104520
411044264
421042184
431044472
441041144
451044680
461042392
471044888
48104624
491045096
501042600
511045304
52104
531045512

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 39 and 104? (The answer is: 312). Select the first number (e.g. '39') and the second number (e.g. '104'). 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 39 and 104?

LCM of 39 and 104 is 312