What is the Least Common Multiple of 51894 and 51903?

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 51894 and 51903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51894 and 51903, than apply into the LCM equation.

GCF(51894,51903) = 9
LCM(51894,51903) = ( 51894 × 51903) / 9
LCM(51894,51903) = 2693454282 / 9
LCM(51894,51903) = 299272698

Least Common Multiple (LCM) of 51894 and 51903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51894 and 51903. First we will calculate the prime factors of 51894 and 51903.

Prime Factorization of 51894

Prime Factorization of 51903

Now multiplying the highest exponent prime factors to calculate the LCM of 51894 and 51903.

LCM(51894,51903) = 2¹ × 3³ × 31² × 73¹ × 79¹
LCM(51894,51903) = 299272698