What is the Least Common Multiple of 40560 and 40572?

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 40560 and 40572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40560 and 40572, than apply into the LCM equation.

GCF(40560,40572) = 12
LCM(40560,40572) = ( 40560 × 40572) / 12
LCM(40560,40572) = 1645600320 / 12
LCM(40560,40572) = 137133360

Least Common Multiple (LCM) of 40560 and 40572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40560 and 40572. First we will calculate the prime factors of 40560 and 40572.

Prime Factorization of 40560

Prime Factorization of 40572

Now multiplying the highest exponent prime factors to calculate the LCM of 40560 and 40572.

LCM(40560,40572) = 2⁴ × 3² × 5¹ × 13² × 7² × 23¹
LCM(40560,40572) = 137133360