What is the Least Common Multiple of 97395 and 97400?

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 97395 and 97400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97395 and 97400, than apply into the LCM equation.

GCF(97395,97400) = 5
LCM(97395,97400) = ( 97395 × 97400) / 5
LCM(97395,97400) = 9486273000 / 5
LCM(97395,97400) = 1897254600

Least Common Multiple (LCM) of 97395 and 97400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97395 and 97400. First we will calculate the prime factors of 97395 and 97400.

Prime Factorization of 97395

Prime Factorization of 97400

Now multiplying the highest exponent prime factors to calculate the LCM of 97395 and 97400.

LCM(97395,97400) = 3¹ × 5² × 43¹ × 151¹ × 2³ × 487¹
LCM(97395,97400) = 1897254600