What is the Least Common Multiple of 73152 and 73170?

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 73152 and 73170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73152 and 73170, than apply into the LCM equation.

GCF(73152,73170) = 18
LCM(73152,73170) = ( 73152 × 73170) / 18
LCM(73152,73170) = 5352531840 / 18
LCM(73152,73170) = 297362880

Least Common Multiple (LCM) of 73152 and 73170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73152 and 73170. First we will calculate the prime factors of 73152 and 73170.

Prime Factorization of 73152

Prime Factorization of 73170

Now multiplying the highest exponent prime factors to calculate the LCM of 73152 and 73170.

LCM(73152,73170) = 2⁶ × 3³ × 127¹ × 5¹ × 271¹
LCM(73152,73170) = 297362880