What is the Least Common Multiple of 88419 and 88432?

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 88419 and 88432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88419 and 88432, than apply into the LCM equation.

GCF(88419,88432) = 1
LCM(88419,88432) = ( 88419 × 88432) / 1
LCM(88419,88432) = 7819069008 / 1
LCM(88419,88432) = 7819069008

Least Common Multiple (LCM) of 88419 and 88432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88419 and 88432. First we will calculate the prime factors of 88419 and 88432.

Prime Factorization of 88419

Prime Factorization of 88432

Now multiplying the highest exponent prime factors to calculate the LCM of 88419 and 88432.

LCM(88419,88432) = 3¹ × 29473¹ × 2⁴ × 5527¹
LCM(88419,88432) = 7819069008