What is the Least Common Multiple of 97696 and 97700?

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 97696 and 97700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97696 and 97700, than apply into the LCM equation.

GCF(97696,97700) = 4
LCM(97696,97700) = ( 97696 × 97700) / 4
LCM(97696,97700) = 9544899200 / 4
LCM(97696,97700) = 2386224800

Least Common Multiple (LCM) of 97696 and 97700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97696 and 97700. First we will calculate the prime factors of 97696 and 97700.

Prime Factorization of 97696

Prime Factorization of 97700

Now multiplying the highest exponent prime factors to calculate the LCM of 97696 and 97700.

LCM(97696,97700) = 2⁵ × 43¹ × 71¹ × 5² × 977¹
LCM(97696,97700) = 2386224800