What is the Least Common Multiple of 94913 and 94931?

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 94913 and 94931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94913 and 94931, than apply into the LCM equation.

GCF(94913,94931) = 1
LCM(94913,94931) = ( 94913 × 94931) / 1
LCM(94913,94931) = 9010186003 / 1
LCM(94913,94931) = 9010186003

Least Common Multiple (LCM) of 94913 and 94931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94913 and 94931. First we will calculate the prime factors of 94913 and 94931.

Prime Factorization of 94913

Prime Factorization of 94931

Now multiplying the highest exponent prime factors to calculate the LCM of 94913 and 94931.

LCM(94913,94931) = 7² × 13¹ × 149¹ × 59¹ × 1609¹
LCM(94913,94931) = 9010186003