LCM for 208 and 312

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 208 and 312?

Answer: LCM of 208 and 312 is 624

(Six hundred twenty-four)

Finding LCM for 208 and 312 using GCF's of these numbers

The first method to find LCM for numbers 208 and 312 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 208 and 312 is 104, so

LCM = (208 × 312) ÷ 104

LCM = 64896 ÷ 104

LCM = 624

Finding LCM for 208 and 312 by Listing Multiples

The second method to find LCM for numbers 208 and 312 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 208: 208, 416, 624, 832, 1040

Multiples of 312: 312, 624, 936, 1248

So the LCM for 208 and 312 is 624

Finding LCM for 208 and 312 by Prime Factorization

Another method to find LCM for numbers 208 and 312 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 208: 2, 2, 2, 2, 13 (exponent form: 24, 131)

All Prime Factors of 312: 2, 2, 2, 3, 13 (exponent form: 23, 31, 131)

24 × 131 × 31 = 624

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LCM Table

Number 1Number 2LCM
19331260216
19431230264
1953121560
19631215288
19731261464
19831210296
19931262088
2003127800
20131220904
20231231512
20331263336
2043125304
20531263960
20631232136
20731221528
208312624
20931265208
21031210920
21131265832
21231216536
21331222152
21431233384
21531267080
2163122808
21731267704
21831234008
21931222776
22031217160
2213125304
22231211544

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 208 and 312? (The answer is: 624). Select the first number (e.g. '208') and the second number (e.g. '312'). 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

FAQ

What's the Least Common Multiple (LCM) of 208 and 312?

LCM of 208 and 312 is 624

See Also