What is the Least Common Multiple of 83908 and 83919?

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 of 83908 and 83919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83908 and 83919, than apply into the LCM equation.

GCF(83908,83919) = 11
LCM(83908,83919) = ( 83908 × 83919) / 11
LCM(83908,83919) = 7041475452 / 11
LCM(83908,83919) = 640134132

Least Common Multiple (LCM) of 83908 and 83919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83908 and 83919. First we will calculate the prime factors of 83908 and 83919.

Prime Factorization of 83908

Prime Factorization of 83919

Now multiplying the highest exponent prime factors to calculate the LCM of 83908 and 83919.

LCM(83908,83919) = 2² × 11¹ × 1907¹ × 3¹ × 2543¹
LCM(83908,83919) = 640134132