GCF and LCM Calculator Logo

What is the Least Common Multiple of 40566 and 40580?

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 (LCM) of 40566 and 40580 is 823084140.

LCM(40566,40580) = 823084140

LCM Calculator and
and

Least Common Multiple of 40566 and 40580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40566 and 40580, than apply into the LCM equation.

GCF(40566,40580) = 2
LCM(40566,40580) = ( 40566 × 40580) / 2
LCM(40566,40580) = 1646168280 / 2
LCM(40566,40580) = 823084140

Least Common Multiple (LCM) of 40566 and 40580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40566 and 40580. First we will calculate the prime factors of 40566 and 40580.

Prime Factorization of 40566

Prime factors of 40566 are 2, 3, 6761. Prime factorization of 40566 in exponential form is:

40566 = 21 × 31 × 67611

Prime Factorization of 40580

Prime factors of 40580 are 2, 5, 2029. Prime factorization of 40580 in exponential form is:

40580 = 22 × 51 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 40566 and 40580.

LCM(40566,40580) = 22 × 31 × 67611 × 51 × 20291
LCM(40566,40580) = 823084140