What is the Least Common Multiple of 96232 and 96252?

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 96232 and 96252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96232 and 96252, than apply into the LCM equation.

GCF(96232,96252) = 4
LCM(96232,96252) = ( 96232 × 96252) / 4
LCM(96232,96252) = 9262522464 / 4
LCM(96232,96252) = 2315630616

Least Common Multiple (LCM) of 96232 and 96252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96232 and 96252. First we will calculate the prime factors of 96232 and 96252.

Prime Factorization of 96232

Prime Factorization of 96252

Now multiplying the highest exponent prime factors to calculate the LCM of 96232 and 96252.

LCM(96232,96252) = 2³ × 23¹ × 523¹ × 3¹ × 13¹ × 617¹
LCM(96232,96252) = 2315630616