What is the Least Common Multiple of 95436 and 95440?

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 95436 and 95440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95436 and 95440, than apply into the LCM equation.

GCF(95436,95440) = 4
LCM(95436,95440) = ( 95436 × 95440) / 4
LCM(95436,95440) = 9108411840 / 4
LCM(95436,95440) = 2277102960

Least Common Multiple (LCM) of 95436 and 95440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95436 and 95440. First we will calculate the prime factors of 95436 and 95440.

Prime Factorization of 95436

Prime Factorization of 95440

Now multiplying the highest exponent prime factors to calculate the LCM of 95436 and 95440.

LCM(95436,95440) = 2⁴ × 3² × 11¹ × 241¹ × 5¹ × 1193¹
LCM(95436,95440) = 2277102960