What is the Least Common Multiple of 39720 and 39732?

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 39720 and 39732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39720 and 39732, than apply into the LCM equation.

GCF(39720,39732) = 12
LCM(39720,39732) = ( 39720 × 39732) / 12
LCM(39720,39732) = 1578155040 / 12
LCM(39720,39732) = 131512920

Least Common Multiple (LCM) of 39720 and 39732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39720 and 39732. First we will calculate the prime factors of 39720 and 39732.

Prime Factorization of 39720

Prime Factorization of 39732

Now multiplying the highest exponent prime factors to calculate the LCM of 39720 and 39732.

LCM(39720,39732) = 2³ × 3¹ × 5¹ × 331¹ × 7¹ × 11¹ × 43¹
LCM(39720,39732) = 131512920