What is the Least Common Multiple of 96414 and 96432?

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 96414 and 96432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96414 and 96432, than apply into the LCM equation.

GCF(96414,96432) = 6
LCM(96414,96432) = ( 96414 × 96432) / 6
LCM(96414,96432) = 9297394848 / 6
LCM(96414,96432) = 1549565808

Least Common Multiple (LCM) of 96414 and 96432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96414 and 96432. First we will calculate the prime factors of 96414 and 96432.

Prime Factorization of 96414

Prime Factorization of 96432

Now multiplying the highest exponent prime factors to calculate the LCM of 96414 and 96432.

LCM(96414,96432) = 2⁴ × 3¹ × 16069¹ × 7² × 41¹
LCM(96414,96432) = 1549565808