What is the Least Common Multiple of 7152 and 7171?

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 7171 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 7171, than apply into the LCM equation.

GCF(7152,7171) = 1
LCM(7152,7171) = ( 7152 × 7171) / 1
LCM(7152,7171) = 51286992 / 1
LCM(7152,7171) = 51286992

Least Common Multiple (LCM) of 7152 and 7171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7171. First we will calculate the prime factors of 7152 and 7171.

Prime Factorization of 7152

Prime Factorization of 7171

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7171.

LCM(7152,7171) = 2⁴ × 3¹ × 149¹ × 71¹ × 101¹
LCM(7152,7171) = 51286992