What is the Least Common Multiple of 97485 and 97490?

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 97485 and 97490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97485 and 97490, than apply into the LCM equation.

GCF(97485,97490) = 5
LCM(97485,97490) = ( 97485 × 97490) / 5
LCM(97485,97490) = 9503812650 / 5
LCM(97485,97490) = 1900762530

Least Common Multiple (LCM) of 97485 and 97490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97485 and 97490. First we will calculate the prime factors of 97485 and 97490.

Prime Factorization of 97485

Prime Factorization of 97490

Now multiplying the highest exponent prime factors to calculate the LCM of 97485 and 97490.

LCM(97485,97490) = 3¹ × 5¹ × 67¹ × 97¹ × 2¹ × 9749¹
LCM(97485,97490) = 1900762530