What is the Least Common Multiple of 97152 and 97167?

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 97152 and 97167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97152 and 97167, than apply into the LCM equation.

GCF(97152,97167) = 3
LCM(97152,97167) = ( 97152 × 97167) / 3
LCM(97152,97167) = 9439968384 / 3
LCM(97152,97167) = 3146656128

Least Common Multiple (LCM) of 97152 and 97167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97152 and 97167. First we will calculate the prime factors of 97152 and 97167.

Prime Factorization of 97152

Prime Factorization of 97167

Now multiplying the highest exponent prime factors to calculate the LCM of 97152 and 97167.

LCM(97152,97167) = 2⁷ × 3¹ × 11¹ × 23¹ × 7² × 661¹
LCM(97152,97167) = 3146656128