What is the Least Common Multiple of 11520 and 11532?

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 11520 and 11532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11520 and 11532, than apply into the LCM equation.

GCF(11520,11532) = 12
LCM(11520,11532) = ( 11520 × 11532) / 12
LCM(11520,11532) = 132848640 / 12
LCM(11520,11532) = 11070720

Least Common Multiple (LCM) of 11520 and 11532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11520 and 11532. First we will calculate the prime factors of 11520 and 11532.

Prime Factorization of 11520

Prime Factorization of 11532

Now multiplying the highest exponent prime factors to calculate the LCM of 11520 and 11532.

LCM(11520,11532) = 2⁸ × 3² × 5¹ × 31²
LCM(11520,11532) = 11070720