What is the Least Common Multiple of 95419 and 95436?

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 95419 and 95436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95419 and 95436, than apply into the LCM equation.

GCF(95419,95436) = 1
LCM(95419,95436) = ( 95419 × 95436) / 1
LCM(95419,95436) = 9106407684 / 1
LCM(95419,95436) = 9106407684

Least Common Multiple (LCM) of 95419 and 95436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95419 and 95436. First we will calculate the prime factors of 95419 and 95436.

Prime Factorization of 95419

Prime Factorization of 95436

Now multiplying the highest exponent prime factors to calculate the LCM of 95419 and 95436.

LCM(95419,95436) = 95419¹ × 2² × 3² × 11¹ × 241¹
LCM(95419,95436) = 9106407684