What is the Least Common Multiple of 40109 and 40113?

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 40109 and 40113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40109 and 40113, than apply into the LCM equation.

GCF(40109,40113) = 1
LCM(40109,40113) = ( 40109 × 40113) / 1
LCM(40109,40113) = 1608892317 / 1
LCM(40109,40113) = 1608892317

Least Common Multiple (LCM) of 40109 and 40113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40109 and 40113. First we will calculate the prime factors of 40109 and 40113.

Prime Factorization of 40109

Prime Factorization of 40113

Now multiplying the highest exponent prime factors to calculate the LCM of 40109 and 40113.

LCM(40109,40113) = 19¹ × 2111¹ × 3² × 4457¹
LCM(40109,40113) = 1608892317