What is the Least Common Multiple of 97128 and 97138?

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 97128 and 97138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97128 and 97138, than apply into the LCM equation.

GCF(97128,97138) = 2
LCM(97128,97138) = ( 97128 × 97138) / 2
LCM(97128,97138) = 9434819664 / 2
LCM(97128,97138) = 4717409832

Least Common Multiple (LCM) of 97128 and 97138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97128 and 97138. First we will calculate the prime factors of 97128 and 97138.

Prime Factorization of 97128

Prime Factorization of 97138

Now multiplying the highest exponent prime factors to calculate the LCM of 97128 and 97138.

LCM(97128,97138) = 2³ × 3² × 19¹ × 71¹ × 17¹ × 2857¹
LCM(97128,97138) = 4717409832