What is the Least Common Multiple of 41074 and 41081?

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 41074 and 41081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41074 and 41081, than apply into the LCM equation.

GCF(41074,41081) = 1
LCM(41074,41081) = ( 41074 × 41081) / 1
LCM(41074,41081) = 1687360994 / 1
LCM(41074,41081) = 1687360994

Least Common Multiple (LCM) of 41074 and 41081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41074 and 41081. First we will calculate the prime factors of 41074 and 41081.

Prime Factorization of 41074

Prime Factorization of 41081

Now multiplying the highest exponent prime factors to calculate the LCM of 41074 and 41081.

LCM(41074,41081) = 2¹ × 11¹ × 1867¹ × 41081¹
LCM(41074,41081) = 1687360994