What is the Least Common Multiple of 73104 and 73120?

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 73104 and 73120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73104 and 73120, than apply into the LCM equation.

GCF(73104,73120) = 16
LCM(73104,73120) = ( 73104 × 73120) / 16
LCM(73104,73120) = 5345364480 / 16
LCM(73104,73120) = 334085280

Least Common Multiple (LCM) of 73104 and 73120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73104 and 73120. First we will calculate the prime factors of 73104 and 73120.

Prime Factorization of 73104

Prime Factorization of 73120

Now multiplying the highest exponent prime factors to calculate the LCM of 73104 and 73120.

LCM(73104,73120) = 2⁵ × 3¹ × 1523¹ × 5¹ × 457¹
LCM(73104,73120) = 334085280