What is the Least Common Multiple of 28838 and 28852?

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 28838 and 28852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28838 and 28852, than apply into the LCM equation.

GCF(28838,28852) = 2
LCM(28838,28852) = ( 28838 × 28852) / 2
LCM(28838,28852) = 832033976 / 2
LCM(28838,28852) = 416016988

Least Common Multiple (LCM) of 28838 and 28852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28838 and 28852. First we will calculate the prime factors of 28838 and 28852.

Prime Factorization of 28838

Prime Factorization of 28852

Now multiplying the highest exponent prime factors to calculate the LCM of 28838 and 28852.

LCM(28838,28852) = 2² × 14419¹ × 7213¹
LCM(28838,28852) = 416016988