What is the Least Common Multiple of 96546 and 96552?

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 96546 and 96552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96546 and 96552, than apply into the LCM equation.

GCF(96546,96552) = 6
LCM(96546,96552) = ( 96546 × 96552) / 6
LCM(96546,96552) = 9321709392 / 6
LCM(96546,96552) = 1553618232

Least Common Multiple (LCM) of 96546 and 96552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96546 and 96552. First we will calculate the prime factors of 96546 and 96552.

Prime Factorization of 96546

Prime Factorization of 96552

Now multiplying the highest exponent prime factors to calculate the LCM of 96546 and 96552.

LCM(96546,96552) = 2³ × 3⁴ × 16091¹ × 149¹
LCM(96546,96552) = 1553618232