What is the Least Common Multiple of 41496 and 41509?

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 41496 and 41509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41496 and 41509, than apply into the LCM equation.

GCF(41496,41509) = 13
LCM(41496,41509) = ( 41496 × 41509) / 13
LCM(41496,41509) = 1722457464 / 13
LCM(41496,41509) = 132496728

Least Common Multiple (LCM) of 41496 and 41509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41496 and 41509. First we will calculate the prime factors of 41496 and 41509.

Prime Factorization of 41496

Prime Factorization of 41509

Now multiplying the highest exponent prime factors to calculate the LCM of 41496 and 41509.

LCM(41496,41509) = 2³ × 3¹ × 7¹ × 13¹ × 19¹ × 31¹ × 103¹
LCM(41496,41509) = 132496728