What is the Least Common Multiple of 51338 and 51357?

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 51338 and 51357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51338 and 51357, than apply into the LCM equation.

GCF(51338,51357) = 19
LCM(51338,51357) = ( 51338 × 51357) / 19
LCM(51338,51357) = 2636565666 / 19
LCM(51338,51357) = 138766614

Least Common Multiple (LCM) of 51338 and 51357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51338 and 51357. First we will calculate the prime factors of 51338 and 51357.

Prime Factorization of 51338

Prime Factorization of 51357

Now multiplying the highest exponent prime factors to calculate the LCM of 51338 and 51357.

LCM(51338,51357) = 2¹ × 7¹ × 19¹ × 193¹ × 3¹ × 17¹ × 53¹
LCM(51338,51357) = 138766614