What is the Least Common Multiple of 7152 and 7170?

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 7152 and 7170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7152 and 7170, than apply into the LCM equation.

GCF(7152,7170) = 6
LCM(7152,7170) = ( 7152 × 7170) / 6
LCM(7152,7170) = 51279840 / 6
LCM(7152,7170) = 8546640

Least Common Multiple (LCM) of 7152 and 7170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7170. First we will calculate the prime factors of 7152 and 7170.

Prime Factorization of 7152

Prime Factorization of 7170

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7170.

LCM(7152,7170) = 2⁴ × 3¹ × 149¹ × 5¹ × 239¹
LCM(7152,7170) = 8546640