What is the Least Common Multiple of 41872 and 41886?

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 41872 and 41886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41872 and 41886, than apply into the LCM equation.

GCF(41872,41886) = 2
LCM(41872,41886) = ( 41872 × 41886) / 2
LCM(41872,41886) = 1753850592 / 2
LCM(41872,41886) = 876925296

Least Common Multiple (LCM) of 41872 and 41886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41872 and 41886. First we will calculate the prime factors of 41872 and 41886.

Prime Factorization of 41872

Prime Factorization of 41886

Now multiplying the highest exponent prime factors to calculate the LCM of 41872 and 41886.

LCM(41872,41886) = 2⁴ × 2617¹ × 3² × 13¹ × 179¹
LCM(41872,41886) = 876925296