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What is the Least Common Multiple of 3137 and 3149?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3137 and 3149 is 9878413.

LCM(3137,3149) = 9878413

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Least Common Multiple of 3137 and 3149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3137 and 3149, than apply into the LCM equation.

GCF(3137,3149) = 1
LCM(3137,3149) = ( 3137 × 3149) / 1
LCM(3137,3149) = 9878413 / 1
LCM(3137,3149) = 9878413

Least Common Multiple (LCM) of 3137 and 3149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3137 and 3149. First we will calculate the prime factors of 3137 and 3149.

Prime Factorization of 3137

Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:

3137 = 31371

Prime Factorization of 3149

Prime factors of 3149 are 47, 67. Prime factorization of 3149 in exponential form is:

3149 = 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 3137 and 3149.

LCM(3137,3149) = 31371 × 471 × 671
LCM(3137,3149) = 9878413