What is the Least Common Multiple of 51908 and 51919?

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 51908 and 51919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51908 and 51919, than apply into the LCM equation.

GCF(51908,51919) = 1
LCM(51908,51919) = ( 51908 × 51919) / 1
LCM(51908,51919) = 2695011452 / 1
LCM(51908,51919) = 2695011452

Least Common Multiple (LCM) of 51908 and 51919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51908 and 51919. First we will calculate the prime factors of 51908 and 51919.

Prime Factorization of 51908

Prime Factorization of 51919

Now multiplying the highest exponent prime factors to calculate the LCM of 51908 and 51919.

LCM(51908,51919) = 2² × 19¹ × 683¹ × 7¹ × 7417¹
LCM(51908,51919) = 2695011452