What is the Least Common Multiple of 96552 and 96568?

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 96552 and 96568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96552 and 96568, than apply into the LCM equation.

GCF(96552,96568) = 8
LCM(96552,96568) = ( 96552 × 96568) / 8
LCM(96552,96568) = 9323833536 / 8
LCM(96552,96568) = 1165479192

Least Common Multiple (LCM) of 96552 and 96568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96552 and 96568. First we will calculate the prime factors of 96552 and 96568.

Prime Factorization of 96552

Prime Factorization of 96568

Now multiplying the highest exponent prime factors to calculate the LCM of 96552 and 96568.

LCM(96552,96568) = 2³ × 3⁴ × 149¹ × 12071¹
LCM(96552,96568) = 1165479192