What is the Least Common Multiple of 88032 and 88042?

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 88042 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 88042, than apply into the LCM equation.

GCF(88032,88042) = 2
LCM(88032,88042) = ( 88032 × 88042) / 2
LCM(88032,88042) = 7750513344 / 2
LCM(88032,88042) = 3875256672

Least Common Multiple (LCM) of 88032 and 88042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88032 and 88042. First we will calculate the prime factors of 88032 and 88042.

Prime Factorization of 88032

Prime Factorization of 88042

Now multiplying the highest exponent prime factors to calculate the LCM of 88032 and 88042.

LCM(88032,88042) = 2⁵ × 3¹ × 7¹ × 131¹ × 44021¹
LCM(88032,88042) = 3875256672