What is the Least Common Multiple of 95380 and 95400?

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 95380 and 95400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95380 and 95400, than apply into the LCM equation.

GCF(95380,95400) = 20
LCM(95380,95400) = ( 95380 × 95400) / 20
LCM(95380,95400) = 9099252000 / 20
LCM(95380,95400) = 454962600

Least Common Multiple (LCM) of 95380 and 95400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95380 and 95400. First we will calculate the prime factors of 95380 and 95400.

Prime Factorization of 95380

Prime Factorization of 95400

Now multiplying the highest exponent prime factors to calculate the LCM of 95380 and 95400.

LCM(95380,95400) = 2³ × 5² × 19¹ × 251¹ × 3² × 53¹
LCM(95380,95400) = 454962600