What is the Least Common Multiple of 23746 and 23752?

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 23746 and 23752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23746 and 23752, than apply into the LCM equation.

GCF(23746,23752) = 2
LCM(23746,23752) = ( 23746 × 23752) / 2
LCM(23746,23752) = 564014992 / 2
LCM(23746,23752) = 282007496

Least Common Multiple (LCM) of 23746 and 23752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23746 and 23752. First we will calculate the prime factors of 23746 and 23752.

Prime Factorization of 23746

Prime Factorization of 23752

Now multiplying the highest exponent prime factors to calculate the LCM of 23746 and 23752.

LCM(23746,23752) = 2³ × 31¹ × 383¹ × 2969¹
LCM(23746,23752) = 282007496