What is the Least Common Multiple of 41488 and 41496?

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 41488 and 41496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41488 and 41496, than apply into the LCM equation.

GCF(41488,41496) = 8
LCM(41488,41496) = ( 41488 × 41496) / 8
LCM(41488,41496) = 1721586048 / 8
LCM(41488,41496) = 215198256

Least Common Multiple (LCM) of 41488 and 41496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41488 and 41496. First we will calculate the prime factors of 41488 and 41496.

Prime Factorization of 41488

Prime Factorization of 41496

Now multiplying the highest exponent prime factors to calculate the LCM of 41488 and 41496.

LCM(41488,41496) = 2⁴ × 2593¹ × 3¹ × 7¹ × 13¹ × 19¹
LCM(41488,41496) = 215198256