What is the Least Common Multiple of 97250 and 97264?

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 97250 and 97264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97250 and 97264, than apply into the LCM equation.

GCF(97250,97264) = 2
LCM(97250,97264) = ( 97250 × 97264) / 2
LCM(97250,97264) = 9458924000 / 2
LCM(97250,97264) = 4729462000

Least Common Multiple (LCM) of 97250 and 97264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97250 and 97264. First we will calculate the prime factors of 97250 and 97264.

Prime Factorization of 97250

Prime Factorization of 97264

Now multiplying the highest exponent prime factors to calculate the LCM of 97250 and 97264.

LCM(97250,97264) = 2⁴ × 5³ × 389¹ × 6079¹
LCM(97250,97264) = 4729462000