What is the Least Common Multiple of 97125 and 97140?

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 97125 and 97140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97125 and 97140, than apply into the LCM equation.

GCF(97125,97140) = 15
LCM(97125,97140) = ( 97125 × 97140) / 15
LCM(97125,97140) = 9434722500 / 15
LCM(97125,97140) = 628981500

Least Common Multiple (LCM) of 97125 and 97140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97125 and 97140. First we will calculate the prime factors of 97125 and 97140.

Prime Factorization of 97125

Prime Factorization of 97140

Now multiplying the highest exponent prime factors to calculate the LCM of 97125 and 97140.

LCM(97125,97140) = 3¹ × 5³ × 7¹ × 37¹ × 2² × 1619¹
LCM(97125,97140) = 628981500