What is the Least Common Multiple of 97024 and 97028?

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 97024 and 97028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97024 and 97028, than apply into the LCM equation.

GCF(97024,97028) = 4
LCM(97024,97028) = ( 97024 × 97028) / 4
LCM(97024,97028) = 9414044672 / 4
LCM(97024,97028) = 2353511168

Least Common Multiple (LCM) of 97024 and 97028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97024 and 97028. First we will calculate the prime factors of 97024 and 97028.

Prime Factorization of 97024

Prime Factorization of 97028

Now multiplying the highest exponent prime factors to calculate the LCM of 97024 and 97028.

LCM(97024,97028) = 2⁸ × 379¹ × 127¹ × 191¹
LCM(97024,97028) = 2353511168