What is the Least Common Multiple of 40519 and 40525?

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 40519 and 40525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40519 and 40525, than apply into the LCM equation.

GCF(40519,40525) = 1
LCM(40519,40525) = ( 40519 × 40525) / 1
LCM(40519,40525) = 1642032475 / 1
LCM(40519,40525) = 1642032475

Least Common Multiple (LCM) of 40519 and 40525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40519 and 40525. First we will calculate the prime factors of 40519 and 40525.

Prime Factorization of 40519

Prime Factorization of 40525

Now multiplying the highest exponent prime factors to calculate the LCM of 40519 and 40525.

LCM(40519,40525) = 40519¹ × 5² × 1621¹
LCM(40519,40525) = 1642032475