What is the Least Common Multiple of 7152 and 7168?

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 7168 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 7168, than apply into the LCM equation.

GCF(7152,7168) = 16
LCM(7152,7168) = ( 7152 × 7168) / 16
LCM(7152,7168) = 51265536 / 16
LCM(7152,7168) = 3204096

Least Common Multiple (LCM) of 7152 and 7168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7168. First we will calculate the prime factors of 7152 and 7168.

Prime Factorization of 7152

Prime Factorization of 7168

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7168.

LCM(7152,7168) = 2¹⁰ × 3¹ × 149¹ × 7¹
LCM(7152,7168) = 3204096