What is the Least Common Multiple of 41034 and 41053?

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 41034 and 41053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41034 and 41053, than apply into the LCM equation.

GCF(41034,41053) = 1
LCM(41034,41053) = ( 41034 × 41053) / 1
LCM(41034,41053) = 1684568802 / 1
LCM(41034,41053) = 1684568802

Least Common Multiple (LCM) of 41034 and 41053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41034 and 41053. First we will calculate the prime factors of 41034 and 41053.

Prime Factorization of 41034

Prime Factorization of 41053

Now multiplying the highest exponent prime factors to calculate the LCM of 41034 and 41053.

LCM(41034,41053) = 2¹ × 3¹ × 7¹ × 977¹ × 61¹ × 673¹
LCM(41034,41053) = 1684568802