What is the Least Common Multiple of 41642 and 41648?

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 41642 and 41648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41642 and 41648, than apply into the LCM equation.

GCF(41642,41648) = 2
LCM(41642,41648) = ( 41642 × 41648) / 2
LCM(41642,41648) = 1734306016 / 2
LCM(41642,41648) = 867153008

Least Common Multiple (LCM) of 41642 and 41648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41642 and 41648. First we will calculate the prime factors of 41642 and 41648.

Prime Factorization of 41642

Prime Factorization of 41648

Now multiplying the highest exponent prime factors to calculate the LCM of 41642 and 41648.

LCM(41642,41648) = 2⁴ × 47¹ × 443¹ × 19¹ × 137¹
LCM(41642,41648) = 867153008