What is the Least Common Multiple of 95409 and 95418?

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 95409 and 95418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95409 and 95418, than apply into the LCM equation.

GCF(95409,95418) = 9
LCM(95409,95418) = ( 95409 × 95418) / 9
LCM(95409,95418) = 9103735962 / 9
LCM(95409,95418) = 1011526218

Least Common Multiple (LCM) of 95409 and 95418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95409 and 95418. First we will calculate the prime factors of 95409 and 95418.

Prime Factorization of 95409

Prime Factorization of 95418

Now multiplying the highest exponent prime factors to calculate the LCM of 95409 and 95418.

LCM(95409,95418) = 3⁴ × 10601¹ × 2¹ × 19¹ × 31¹
LCM(95409,95418) = 1011526218