What is the Least Common Multiple of 97144 and 97158?

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 97144 and 97158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97144 and 97158, than apply into the LCM equation.

GCF(97144,97158) = 2
LCM(97144,97158) = ( 97144 × 97158) / 2
LCM(97144,97158) = 9438316752 / 2
LCM(97144,97158) = 4719158376

Least Common Multiple (LCM) of 97144 and 97158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97144 and 97158. First we will calculate the prime factors of 97144 and 97158.

Prime Factorization of 97144

Prime Factorization of 97158

Now multiplying the highest exponent prime factors to calculate the LCM of 97144 and 97158.

LCM(97144,97158) = 2³ × 12143¹ × 3¹ × 16193¹
LCM(97144,97158) = 4719158376