What is the Least Common Multiple of 41054 and 41067?

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 41054 and 41067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41054 and 41067, than apply into the LCM equation.

GCF(41054,41067) = 13
LCM(41054,41067) = ( 41054 × 41067) / 13
LCM(41054,41067) = 1685964618 / 13
LCM(41054,41067) = 129689586

Least Common Multiple (LCM) of 41054 and 41067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41054 and 41067. First we will calculate the prime factors of 41054 and 41067.

Prime Factorization of 41054

Prime Factorization of 41067

Now multiplying the highest exponent prime factors to calculate the LCM of 41054 and 41067.

LCM(41054,41067) = 2¹ × 13² × 1579¹ × 3⁵
LCM(41054,41067) = 129689586