What is the Least Common Multiple of 97500 and 97508?

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 97500 and 97508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97500 and 97508, than apply into the LCM equation.

GCF(97500,97508) = 4
LCM(97500,97508) = ( 97500 × 97508) / 4
LCM(97500,97508) = 9507030000 / 4
LCM(97500,97508) = 2376757500

Least Common Multiple (LCM) of 97500 and 97508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97500 and 97508. First we will calculate the prime factors of 97500 and 97508.

Prime Factorization of 97500

Prime Factorization of 97508

Now multiplying the highest exponent prime factors to calculate the LCM of 97500 and 97508.

LCM(97500,97508) = 2² × 3¹ × 5⁴ × 13¹ × 19¹ × 1283¹
LCM(97500,97508) = 2376757500