What is the Least Common Multiple of 43720 and 43732?

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 43720 and 43732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43720 and 43732, than apply into the LCM equation.

GCF(43720,43732) = 4
LCM(43720,43732) = ( 43720 × 43732) / 4
LCM(43720,43732) = 1911963040 / 4
LCM(43720,43732) = 477990760

Least Common Multiple (LCM) of 43720 and 43732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43720 and 43732. First we will calculate the prime factors of 43720 and 43732.

Prime Factorization of 43720

Prime Factorization of 43732

Now multiplying the highest exponent prime factors to calculate the LCM of 43720 and 43732.

LCM(43720,43732) = 2³ × 5¹ × 1093¹ × 13¹ × 29²
LCM(43720,43732) = 477990760