What is the Least Common Multiple of 73032 and 73036?

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 73032 and 73036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73032 and 73036, than apply into the LCM equation.

GCF(73032,73036) = 4
LCM(73032,73036) = ( 73032 × 73036) / 4
LCM(73032,73036) = 5333965152 / 4
LCM(73032,73036) = 1333491288

Least Common Multiple (LCM) of 73032 and 73036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73032 and 73036. First we will calculate the prime factors of 73032 and 73036.

Prime Factorization of 73032

Prime Factorization of 73036

Now multiplying the highest exponent prime factors to calculate the LCM of 73032 and 73036.

LCM(73032,73036) = 2³ × 3¹ × 17¹ × 179¹ × 19¹ × 31²
LCM(73032,73036) = 1333491288