What is the Least Common Multiple of 40475 and 40479?

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 40475 and 40479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40475 and 40479, than apply into the LCM equation.

GCF(40475,40479) = 1
LCM(40475,40479) = ( 40475 × 40479) / 1
LCM(40475,40479) = 1638387525 / 1
LCM(40475,40479) = 1638387525

Least Common Multiple (LCM) of 40475 and 40479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40475 and 40479. First we will calculate the prime factors of 40475 and 40479.

Prime Factorization of 40475

Prime Factorization of 40479

Now multiplying the highest exponent prime factors to calculate the LCM of 40475 and 40479.

LCM(40475,40479) = 5² × 1619¹ × 3¹ × 103¹ × 131¹
LCM(40475,40479) = 1638387525