What is the Least Common Multiple of 97006 and 97024?

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 97006 and 97024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97006 and 97024, than apply into the LCM equation.

GCF(97006,97024) = 2
LCM(97006,97024) = ( 97006 × 97024) / 2
LCM(97006,97024) = 9411910144 / 2
LCM(97006,97024) = 4705955072

Least Common Multiple (LCM) of 97006 and 97024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97006 and 97024. First we will calculate the prime factors of 97006 and 97024.

Prime Factorization of 97006

Prime Factorization of 97024

Now multiplying the highest exponent prime factors to calculate the LCM of 97006 and 97024.

LCM(97006,97024) = 2⁸ × 7¹ × 13² × 41¹ × 379¹
LCM(97006,97024) = 4705955072