What is the Least Common Multiple of 41138 and 41147?

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 41138 and 41147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41138 and 41147, than apply into the LCM equation.

GCF(41138,41147) = 1
LCM(41138,41147) = ( 41138 × 41147) / 1
LCM(41138,41147) = 1692705286 / 1
LCM(41138,41147) = 1692705286

Least Common Multiple (LCM) of 41138 and 41147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41138 and 41147. First we will calculate the prime factors of 41138 and 41147.

Prime Factorization of 41138

Prime Factorization of 41147

Now multiplying the highest exponent prime factors to calculate the LCM of 41138 and 41147.

LCM(41138,41147) = 2¹ × 67¹ × 307¹ × 23¹ × 1789¹
LCM(41138,41147) = 1692705286