GCF and LCM Calculator Logo

What is the Least Common Multiple of 45709 and 45720?

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 45709 and 45720 is 2089815480.

LCM(45709,45720) = 2089815480

LCM Calculator and
and

Least Common Multiple of 45709 and 45720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45709 and 45720, than apply into the LCM equation.

GCF(45709,45720) = 1
LCM(45709,45720) = ( 45709 × 45720) / 1
LCM(45709,45720) = 2089815480 / 1
LCM(45709,45720) = 2089815480

Least Common Multiple (LCM) of 45709 and 45720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45709 and 45720. First we will calculate the prime factors of 45709 and 45720.

Prime Factorization of 45709

Prime factors of 45709 are 43, 1063. Prime factorization of 45709 in exponential form is:

45709 = 431 × 10631

Prime Factorization of 45720

Prime factors of 45720 are 2, 3, 5, 127. Prime factorization of 45720 in exponential form is:

45720 = 23 × 32 × 51 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 45709 and 45720.

LCM(45709,45720) = 431 × 10631 × 23 × 32 × 51 × 1271
LCM(45709,45720) = 2089815480