What is the Least Common Multiple of 88032 and 88043?

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 88032 and 88043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88032 and 88043, than apply into the LCM equation.

GCF(88032,88043) = 1
LCM(88032,88043) = ( 88032 × 88043) / 1
LCM(88032,88043) = 7750601376 / 1
LCM(88032,88043) = 7750601376

Least Common Multiple (LCM) of 88032 and 88043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88032 and 88043. First we will calculate the prime factors of 88032 and 88043.

Prime Factorization of 88032

Prime Factorization of 88043

Now multiplying the highest exponent prime factors to calculate the LCM of 88032 and 88043.

LCM(88032,88043) = 2⁵ × 3¹ × 7¹ × 131¹ × 17¹ × 5179¹
LCM(88032,88043) = 7750601376