What is the Least Common Multiple of 41519 and 41535?

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 41519 and 41535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41519 and 41535, than apply into the LCM equation.

GCF(41519,41535) = 1
LCM(41519,41535) = ( 41519 × 41535) / 1
LCM(41519,41535) = 1724491665 / 1
LCM(41519,41535) = 1724491665

Least Common Multiple (LCM) of 41519 and 41535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41519 and 41535. First we will calculate the prime factors of 41519 and 41535.

Prime Factorization of 41519

Prime Factorization of 41535

Now multiplying the highest exponent prime factors to calculate the LCM of 41519 and 41535.

LCM(41519,41535) = 41519¹ × 3² × 5¹ × 13¹ × 71¹
LCM(41519,41535) = 1724491665