What is the Least Common Multiple of 41877 and 41892?

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 41877 and 41892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41877 and 41892, than apply into the LCM equation.

GCF(41877,41892) = 3
LCM(41877,41892) = ( 41877 × 41892) / 3
LCM(41877,41892) = 1754311284 / 3
LCM(41877,41892) = 584770428

Least Common Multiple (LCM) of 41877 and 41892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41877 and 41892. First we will calculate the prime factors of 41877 and 41892.

Prime Factorization of 41877

Prime Factorization of 41892

Now multiplying the highest exponent prime factors to calculate the LCM of 41877 and 41892.

LCM(41877,41892) = 3⁴ × 11¹ × 47¹ × 2² × 3491¹
LCM(41877,41892) = 584770428