What is the Least Common Multiple of 97132 and 97152?

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 97132 and 97152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97132 and 97152, than apply into the LCM equation.

GCF(97132,97152) = 4
LCM(97132,97152) = ( 97132 × 97152) / 4
LCM(97132,97152) = 9436568064 / 4
LCM(97132,97152) = 2359142016

Least Common Multiple (LCM) of 97132 and 97152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97132 and 97152. First we will calculate the prime factors of 97132 and 97152.

Prime Factorization of 97132

Prime Factorization of 97152

Now multiplying the highest exponent prime factors to calculate the LCM of 97132 and 97152.

LCM(97132,97152) = 2⁷ × 7¹ × 3469¹ × 3¹ × 11¹ × 23¹
LCM(97132,97152) = 2359142016