What is the Least Common Multiple of 41623 and 41637?

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 41623 and 41637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41623 and 41637, than apply into the LCM equation.

GCF(41623,41637) = 1
LCM(41623,41637) = ( 41623 × 41637) / 1
LCM(41623,41637) = 1733056851 / 1
LCM(41623,41637) = 1733056851

Least Common Multiple (LCM) of 41623 and 41637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41623 and 41637. First we will calculate the prime factors of 41623 and 41637.

Prime Factorization of 41623

Prime Factorization of 41637

Now multiplying the highest exponent prime factors to calculate the LCM of 41623 and 41637.

LCM(41623,41637) = 107¹ × 389¹ × 3¹ × 13879¹
LCM(41623,41637) = 1733056851