What is the Least Common Multiple of 71724 and 71732?

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 71724 and 71732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71724 and 71732, than apply into the LCM equation.

GCF(71724,71732) = 4
LCM(71724,71732) = ( 71724 × 71732) / 4
LCM(71724,71732) = 5144905968 / 4
LCM(71724,71732) = 1286226492

Least Common Multiple (LCM) of 71724 and 71732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71724 and 71732. First we will calculate the prime factors of 71724 and 71732.

Prime Factorization of 71724

Prime Factorization of 71732

Now multiplying the highest exponent prime factors to calculate the LCM of 71724 and 71732.

LCM(71724,71732) = 2² × 3¹ × 43¹ × 139¹ × 79¹ × 227¹
LCM(71724,71732) = 1286226492