What is the Least Common Multiple of 88032 and 88036?

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 88036 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 88036, than apply into the LCM equation.

GCF(88032,88036) = 4
LCM(88032,88036) = ( 88032 × 88036) / 4
LCM(88032,88036) = 7749985152 / 4
LCM(88032,88036) = 1937496288

Least Common Multiple (LCM) of 88032 and 88036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88032 and 88036. First we will calculate the prime factors of 88032 and 88036.

Prime Factorization of 88032

Prime Factorization of 88036

Now multiplying the highest exponent prime factors to calculate the LCM of 88032 and 88036.

LCM(88032,88036) = 2⁵ × 3¹ × 7¹ × 131¹ × 13¹ × 1693¹
LCM(88032,88036) = 1937496288