What is the Least Common Multiple of 97138 and 97144?

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 97138 and 97144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97138 and 97144, than apply into the LCM equation.

GCF(97138,97144) = 2
LCM(97138,97144) = ( 97138 × 97144) / 2
LCM(97138,97144) = 9436373872 / 2
LCM(97138,97144) = 4718186936

Least Common Multiple (LCM) of 97138 and 97144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97138 and 97144. First we will calculate the prime factors of 97138 and 97144.

Prime Factorization of 97138

Prime Factorization of 97144

Now multiplying the highest exponent prime factors to calculate the LCM of 97138 and 97144.

LCM(97138,97144) = 2³ × 17¹ × 2857¹ × 12143¹
LCM(97138,97144) = 4718186936