What is the Least Common Multiple of 40479 and 40490?

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 40479 and 40490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40479 and 40490, than apply into the LCM equation.

GCF(40479,40490) = 1
LCM(40479,40490) = ( 40479 × 40490) / 1
LCM(40479,40490) = 1638994710 / 1
LCM(40479,40490) = 1638994710

Least Common Multiple (LCM) of 40479 and 40490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40479 and 40490. First we will calculate the prime factors of 40479 and 40490.

Prime Factorization of 40479

Prime Factorization of 40490

Now multiplying the highest exponent prime factors to calculate the LCM of 40479 and 40490.

LCM(40479,40490) = 3¹ × 103¹ × 131¹ × 2¹ × 5¹ × 4049¹
LCM(40479,40490) = 1638994710