What is the Least Common Multiple of 93540 and 93552?

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 93540 and 93552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93540 and 93552, than apply into the LCM equation.

GCF(93540,93552) = 12
LCM(93540,93552) = ( 93540 × 93552) / 12
LCM(93540,93552) = 8750854080 / 12
LCM(93540,93552) = 729237840

Least Common Multiple (LCM) of 93540 and 93552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93540 and 93552. First we will calculate the prime factors of 93540 and 93552.

Prime Factorization of 93540

Prime Factorization of 93552

Now multiplying the highest exponent prime factors to calculate the LCM of 93540 and 93552.

LCM(93540,93552) = 2⁴ × 3¹ × 5¹ × 1559¹ × 1949¹
LCM(93540,93552) = 729237840