What is the Least Common Multiple of 97074 and 97088?

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 97074 and 97088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97074 and 97088, than apply into the LCM equation.

GCF(97074,97088) = 2
LCM(97074,97088) = ( 97074 × 97088) / 2
LCM(97074,97088) = 9424720512 / 2
LCM(97074,97088) = 4712360256

Least Common Multiple (LCM) of 97074 and 97088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97074 and 97088. First we will calculate the prime factors of 97074 and 97088.

Prime Factorization of 97074

Prime Factorization of 97088

Now multiplying the highest exponent prime factors to calculate the LCM of 97074 and 97088.

LCM(97074,97088) = 2⁶ × 3² × 5393¹ × 37¹ × 41¹
LCM(97074,97088) = 4712360256