What is the Least Common Multiple of 41519 and 41532?

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 41532 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 41532, than apply into the LCM equation.

GCF(41519,41532) = 1
LCM(41519,41532) = ( 41519 × 41532) / 1
LCM(41519,41532) = 1724367108 / 1
LCM(41519,41532) = 1724367108

Least Common Multiple (LCM) of 41519 and 41532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41519 and 41532. First we will calculate the prime factors of 41519 and 41532.

Prime Factorization of 41519

Prime Factorization of 41532

Now multiplying the highest exponent prime factors to calculate the LCM of 41519 and 41532.

LCM(41519,41532) = 41519¹ × 2² × 3¹ × 3461¹
LCM(41519,41532) = 1724367108