What is the Least Common Multiple of 69712 and 69732?

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 69712 and 69732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69712 and 69732, than apply into the LCM equation.

GCF(69712,69732) = 4
LCM(69712,69732) = ( 69712 × 69732) / 4
LCM(69712,69732) = 4861157184 / 4
LCM(69712,69732) = 1215289296

Least Common Multiple (LCM) of 69712 and 69732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69712 and 69732. First we will calculate the prime factors of 69712 and 69732.

Prime Factorization of 69712

Prime Factorization of 69732

Now multiplying the highest exponent prime factors to calculate the LCM of 69712 and 69732.

LCM(69712,69732) = 2⁴ × 4357¹ × 3² × 13¹ × 149¹
LCM(69712,69732) = 1215289296