What is the Least Common Multiple of 23752 and 23766?

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 23752 and 23766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23752 and 23766, than apply into the LCM equation.

GCF(23752,23766) = 2
LCM(23752,23766) = ( 23752 × 23766) / 2
LCM(23752,23766) = 564490032 / 2
LCM(23752,23766) = 282245016

Least Common Multiple (LCM) of 23752 and 23766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23752 and 23766. First we will calculate the prime factors of 23752 and 23766.

Prime Factorization of 23752

Prime Factorization of 23766

Now multiplying the highest exponent prime factors to calculate the LCM of 23752 and 23766.

LCM(23752,23766) = 2³ × 2969¹ × 3¹ × 17¹ × 233¹
LCM(23752,23766) = 282245016