What is the Least Common Multiple of 24732 and 24746?

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 24732 and 24746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24732 and 24746, than apply into the LCM equation.

GCF(24732,24746) = 2
LCM(24732,24746) = ( 24732 × 24746) / 2
LCM(24732,24746) = 612018072 / 2
LCM(24732,24746) = 306009036

Least Common Multiple (LCM) of 24732 and 24746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24732 and 24746. First we will calculate the prime factors of 24732 and 24746.

Prime Factorization of 24732

Prime Factorization of 24746

Now multiplying the highest exponent prime factors to calculate the LCM of 24732 and 24746.

LCM(24732,24746) = 2² × 3³ × 229¹ × 12373¹
LCM(24732,24746) = 306009036