What is the Least Common Multiple of 97032 and 97036?

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 97032 and 97036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97032 and 97036, than apply into the LCM equation.

GCF(97032,97036) = 4
LCM(97032,97036) = ( 97032 × 97036) / 4
LCM(97032,97036) = 9415597152 / 4
LCM(97032,97036) = 2353899288

Least Common Multiple (LCM) of 97032 and 97036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97032 and 97036. First we will calculate the prime factors of 97032 and 97036.

Prime Factorization of 97032

Prime Factorization of 97036

Now multiplying the highest exponent prime factors to calculate the LCM of 97032 and 97036.

LCM(97032,97036) = 2³ × 3¹ × 13¹ × 311¹ × 17¹ × 1427¹
LCM(97032,97036) = 2353899288