What is the Least Common Multiple of 89520 and 89532?

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 89520 and 89532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89520 and 89532, than apply into the LCM equation.

GCF(89520,89532) = 12
LCM(89520,89532) = ( 89520 × 89532) / 12
LCM(89520,89532) = 8014904640 / 12
LCM(89520,89532) = 667908720

Least Common Multiple (LCM) of 89520 and 89532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89520 and 89532. First we will calculate the prime factors of 89520 and 89532.

Prime Factorization of 89520

Prime Factorization of 89532

Now multiplying the highest exponent prime factors to calculate the LCM of 89520 and 89532.

LCM(89520,89532) = 2⁴ × 3³ × 5¹ × 373¹ × 829¹
LCM(89520,89532) = 667908720