What is the Least Common Multiple of 23798 and 23812?

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 23798 and 23812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23798 and 23812, than apply into the LCM equation.

GCF(23798,23812) = 2
LCM(23798,23812) = ( 23798 × 23812) / 2
LCM(23798,23812) = 566677976 / 2
LCM(23798,23812) = 283338988

Least Common Multiple (LCM) of 23798 and 23812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23798 and 23812. First we will calculate the prime factors of 23798 and 23812.

Prime Factorization of 23798

Prime Factorization of 23812

Now multiplying the highest exponent prime factors to calculate the LCM of 23798 and 23812.

LCM(23798,23812) = 2² × 73¹ × 163¹ × 5953¹
LCM(23798,23812) = 283338988