What is the Least Common Multiple of 41087 and 41102?

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 41087 and 41102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41087 and 41102, than apply into the LCM equation.

GCF(41087,41102) = 1
LCM(41087,41102) = ( 41087 × 41102) / 1
LCM(41087,41102) = 1688757874 / 1
LCM(41087,41102) = 1688757874

Least Common Multiple (LCM) of 41087 and 41102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41087 and 41102. First we will calculate the prime factors of 41087 and 41102.

Prime Factorization of 41087

Prime Factorization of 41102

Now multiplying the highest exponent prime factors to calculate the LCM of 41087 and 41102.

LCM(41087,41102) = 181¹ × 227¹ × 2¹ × 20551¹
LCM(41087,41102) = 1688757874