What is the Least Common Multiple of 95394 and 95409?

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 95394 and 95409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95394 and 95409, than apply into the LCM equation.

GCF(95394,95409) = 3
LCM(95394,95409) = ( 95394 × 95409) / 3
LCM(95394,95409) = 9101446146 / 3
LCM(95394,95409) = 3033815382

Least Common Multiple (LCM) of 95394 and 95409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95394 and 95409. First we will calculate the prime factors of 95394 and 95409.

Prime Factorization of 95394

Prime Factorization of 95409

Now multiplying the highest exponent prime factors to calculate the LCM of 95394 and 95409.

LCM(95394,95409) = 2¹ × 3² × 13¹ × 1223¹ × 10601¹
LCM(95394,95409) = 3033815382