What is the Least Common Multiple of 95436 and 95452?

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 95452 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 95452, than apply into the LCM equation.

GCF(95436,95452) = 4
LCM(95436,95452) = ( 95436 × 95452) / 4
LCM(95436,95452) = 9109557072 / 4
LCM(95436,95452) = 2277389268

Least Common Multiple (LCM) of 95436 and 95452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95436 and 95452. First we will calculate the prime factors of 95436 and 95452.

Prime Factorization of 95436

Prime Factorization of 95452

Now multiplying the highest exponent prime factors to calculate the LCM of 95436 and 95452.

LCM(95436,95452) = 2² × 3² × 11¹ × 241¹ × 7² × 487¹
LCM(95436,95452) = 2277389268