What is the Least Common Multiple of 95409 and 95421?

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 95421 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 95421, than apply into the LCM equation.

GCF(95409,95421) = 3
LCM(95409,95421) = ( 95409 × 95421) / 3
LCM(95409,95421) = 9104022189 / 3
LCM(95409,95421) = 3034674063

Least Common Multiple (LCM) of 95409 and 95421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95409 and 95421. First we will calculate the prime factors of 95409 and 95421.

Prime Factorization of 95409

Prime Factorization of 95421

Now multiplying the highest exponent prime factors to calculate the LCM of 95409 and 95421.

LCM(95409,95421) = 3² × 10601¹ × 17¹ × 1871¹
LCM(95409,95421) = 3034674063