What is the Least Common Multiple of 95394 and 95399?

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 95399 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 95399, than apply into the LCM equation.

GCF(95394,95399) = 1
LCM(95394,95399) = ( 95394 × 95399) / 1
LCM(95394,95399) = 9100492206 / 1
LCM(95394,95399) = 9100492206

Least Common Multiple (LCM) of 95394 and 95399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95394 and 95399. First we will calculate the prime factors of 95394 and 95399.

Prime Factorization of 95394

Prime Factorization of 95399

Now multiplying the highest exponent prime factors to calculate the LCM of 95394 and 95399.

LCM(95394,95399) = 2¹ × 3¹ × 13¹ × 1223¹ × 19¹ × 5021¹
LCM(95394,95399) = 9100492206