What is the Least Common Multiple of 97480 and 97500?

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 97480 and 97500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97480 and 97500, than apply into the LCM equation.

GCF(97480,97500) = 20
LCM(97480,97500) = ( 97480 × 97500) / 20
LCM(97480,97500) = 9504300000 / 20
LCM(97480,97500) = 475215000

Least Common Multiple (LCM) of 97480 and 97500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97480 and 97500. First we will calculate the prime factors of 97480 and 97500.

Prime Factorization of 97480

Prime Factorization of 97500

Now multiplying the highest exponent prime factors to calculate the LCM of 97480 and 97500.

LCM(97480,97500) = 2³ × 5⁴ × 2437¹ × 3¹ × 13¹
LCM(97480,97500) = 475215000