What is the Least Common Multiple of 97475 and 97485?

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 97475 and 97485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97475 and 97485, than apply into the LCM equation.

GCF(97475,97485) = 5
LCM(97475,97485) = ( 97475 × 97485) / 5
LCM(97475,97485) = 9502350375 / 5
LCM(97475,97485) = 1900470075

Least Common Multiple (LCM) of 97475 and 97485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97475 and 97485. First we will calculate the prime factors of 97475 and 97485.

Prime Factorization of 97475

Prime Factorization of 97485

Now multiplying the highest exponent prime factors to calculate the LCM of 97475 and 97485.

LCM(97475,97485) = 5² × 7¹ × 557¹ × 3¹ × 67¹ × 97¹
LCM(97475,97485) = 1900470075