What is the Least Common Multiple of 23751 and 23757?

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 23751 and 23757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23751 and 23757, than apply into the LCM equation.

GCF(23751,23757) = 3
LCM(23751,23757) = ( 23751 × 23757) / 3
LCM(23751,23757) = 564252507 / 3
LCM(23751,23757) = 188084169

Least Common Multiple (LCM) of 23751 and 23757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23751 and 23757. First we will calculate the prime factors of 23751 and 23757.

Prime Factorization of 23751

Prime Factorization of 23757

Now multiplying the highest exponent prime factors to calculate the LCM of 23751 and 23757.

LCM(23751,23757) = 3² × 7¹ × 13¹ × 29¹ × 7919¹
LCM(23751,23757) = 188084169