What is the Least Common Multiple of 39732 and 39750?

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 39732 and 39750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39732 and 39750, than apply into the LCM equation.

GCF(39732,39750) = 6
LCM(39732,39750) = ( 39732 × 39750) / 6
LCM(39732,39750) = 1579347000 / 6
LCM(39732,39750) = 263224500

Least Common Multiple (LCM) of 39732 and 39750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39732 and 39750. First we will calculate the prime factors of 39732 and 39750.

Prime Factorization of 39732

Prime Factorization of 39750

Now multiplying the highest exponent prime factors to calculate the LCM of 39732 and 39750.

LCM(39732,39750) = 2² × 3¹ × 7¹ × 11¹ × 43¹ × 5³ × 53¹
LCM(39732,39750) = 263224500