What is the Least Common Multiple of 28929 and 28938?

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 28929 and 28938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28929 and 28938, than apply into the LCM equation.

GCF(28929,28938) = 3
LCM(28929,28938) = ( 28929 × 28938) / 3
LCM(28929,28938) = 837147402 / 3
LCM(28929,28938) = 279049134

Least Common Multiple (LCM) of 28929 and 28938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28929 and 28938. First we will calculate the prime factors of 28929 and 28938.

Prime Factorization of 28929

Prime Factorization of 28938

Now multiplying the highest exponent prime factors to calculate the LCM of 28929 and 28938.

LCM(28929,28938) = 3¹ × 9643¹ × 2¹ × 7¹ × 13¹ × 53¹
LCM(28929,28938) = 279049134