What is the Least Common Multiple of 97500 and 97506?

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 97506 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 97506, than apply into the LCM equation.

GCF(97500,97506) = 6
LCM(97500,97506) = ( 97500 × 97506) / 6
LCM(97500,97506) = 9506835000 / 6
LCM(97500,97506) = 1584472500

Least Common Multiple (LCM) of 97500 and 97506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97500 and 97506. First we will calculate the prime factors of 97500 and 97506.

Prime Factorization of 97500

Prime Factorization of 97506

Now multiplying the highest exponent prime factors to calculate the LCM of 97500 and 97506.

LCM(97500,97506) = 2² × 3² × 5⁴ × 13¹ × 5417¹
LCM(97500,97506) = 1584472500