What is the Least Common Multiple of 97118 and 97124?

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 97118 and 97124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97118 and 97124, than apply into the LCM equation.

GCF(97118,97124) = 2
LCM(97118,97124) = ( 97118 × 97124) / 2
LCM(97118,97124) = 9432488632 / 2
LCM(97118,97124) = 4716244316

Least Common Multiple (LCM) of 97118 and 97124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97118 and 97124. First we will calculate the prime factors of 97118 and 97124.

Prime Factorization of 97118

Prime Factorization of 97124

Now multiplying the highest exponent prime factors to calculate the LCM of 97118 and 97124.

LCM(97118,97124) = 2² × 7² × 991¹ × 24281¹
LCM(97118,97124) = 4716244316