What is the Least Common Multiple of 73608 and 73616?

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 73608 and 73616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73608 and 73616, than apply into the LCM equation.

GCF(73608,73616) = 8
LCM(73608,73616) = ( 73608 × 73616) / 8
LCM(73608,73616) = 5418726528 / 8
LCM(73608,73616) = 677340816

Least Common Multiple (LCM) of 73608 and 73616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73608 and 73616. First we will calculate the prime factors of 73608 and 73616.

Prime Factorization of 73608

Prime Factorization of 73616

Now multiplying the highest exponent prime factors to calculate the LCM of 73608 and 73616.

LCM(73608,73616) = 2⁴ × 3¹ × 3067¹ × 43¹ × 107¹
LCM(73608,73616) = 677340816