What is the Least Common Multiple of 73596 and 73602?

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 73596 and 73602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73596 and 73602, than apply into the LCM equation.

GCF(73596,73602) = 6
LCM(73596,73602) = ( 73596 × 73602) / 6
LCM(73596,73602) = 5416812792 / 6
LCM(73596,73602) = 902802132

Least Common Multiple (LCM) of 73596 and 73602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73596 and 73602. First we will calculate the prime factors of 73596 and 73602.

Prime Factorization of 73596

Prime Factorization of 73602

Now multiplying the highest exponent prime factors to calculate the LCM of 73596 and 73602.

LCM(73596,73602) = 2² × 3³ × 6133¹ × 29¹ × 47¹
LCM(73596,73602) = 902802132