What is the Least Common Multiple of 41872 and 41877?

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 41877 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 41877, than apply into the LCM equation.

GCF(41872,41877) = 1
LCM(41872,41877) = ( 41872 × 41877) / 1
LCM(41872,41877) = 1753473744 / 1
LCM(41872,41877) = 1753473744

Least Common Multiple (LCM) of 41872 and 41877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41872 and 41877. First we will calculate the prime factors of 41872 and 41877.

Prime Factorization of 41872

Prime Factorization of 41877

Now multiplying the highest exponent prime factors to calculate the LCM of 41872 and 41877.

LCM(41872,41877) = 2⁴ × 2617¹ × 3⁴ × 11¹ × 47¹
LCM(41872,41877) = 1753473744