What is the Least Common Multiple of 83520 and 83532?

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 83520 and 83532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83520 and 83532, than apply into the LCM equation.

GCF(83520,83532) = 12
LCM(83520,83532) = ( 83520 × 83532) / 12
LCM(83520,83532) = 6976592640 / 12
LCM(83520,83532) = 581382720

Least Common Multiple (LCM) of 83520 and 83532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83520 and 83532. First we will calculate the prime factors of 83520 and 83532.

Prime Factorization of 83520

Prime Factorization of 83532

Now multiplying the highest exponent prime factors to calculate the LCM of 83520 and 83532.

LCM(83520,83532) = 2⁶ × 3² × 5¹ × 29¹ × 6961¹
LCM(83520,83532) = 581382720