What is the Least Common Multiple of 97590 and 97599?

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 97590 and 97599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97590 and 97599, than apply into the LCM equation.

GCF(97590,97599) = 3
LCM(97590,97599) = ( 97590 × 97599) / 3
LCM(97590,97599) = 9524686410 / 3
LCM(97590,97599) = 3174895470

Least Common Multiple (LCM) of 97590 and 97599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97590 and 97599. First we will calculate the prime factors of 97590 and 97599.

Prime Factorization of 97590

Prime Factorization of 97599

Now multiplying the highest exponent prime factors to calculate the LCM of 97590 and 97599.

LCM(97590,97599) = 2¹ × 3¹ × 5¹ × 3253¹ × 32533¹
LCM(97590,97599) = 3174895470