What is the Least Common Multiple of 65714 and 65732?

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 65714 and 65732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65714 and 65732, than apply into the LCM equation.

GCF(65714,65732) = 2
LCM(65714,65732) = ( 65714 × 65732) / 2
LCM(65714,65732) = 4319512648 / 2
LCM(65714,65732) = 2159756324

Least Common Multiple (LCM) of 65714 and 65732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65714 and 65732. First we will calculate the prime factors of 65714 and 65732.

Prime Factorization of 65714

Prime Factorization of 65732

Now multiplying the highest exponent prime factors to calculate the LCM of 65714 and 65732.

LCM(65714,65732) = 2² × 11¹ × 29¹ × 103¹ × 16433¹
LCM(65714,65732) = 2159756324