What is the Least Common Multiple of 95448 and 95453?

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 95448 and 95453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95448 and 95453, than apply into the LCM equation.

GCF(95448,95453) = 1
LCM(95448,95453) = ( 95448 × 95453) / 1
LCM(95448,95453) = 9110797944 / 1
LCM(95448,95453) = 9110797944

Least Common Multiple (LCM) of 95448 and 95453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95448 and 95453. First we will calculate the prime factors of 95448 and 95453.

Prime Factorization of 95448

Prime Factorization of 95453

Now multiplying the highest exponent prime factors to calculate the LCM of 95448 and 95453.

LCM(95448,95453) = 2³ × 3¹ × 41¹ × 97¹ × 53¹ × 1801¹
LCM(95448,95453) = 9110797944