What is the Least Common Multiple of 45291 and 45309?

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 45291 and 45309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45291 and 45309, than apply into the LCM equation.

GCF(45291,45309) = 3
LCM(45291,45309) = ( 45291 × 45309) / 3
LCM(45291,45309) = 2052089919 / 3
LCM(45291,45309) = 684029973

Least Common Multiple (LCM) of 45291 and 45309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45291 and 45309. First we will calculate the prime factors of 45291 and 45309.

Prime Factorization of 45291

Prime Factorization of 45309

Now multiplying the highest exponent prime factors to calculate the LCM of 45291 and 45309.

LCM(45291,45309) = 3¹ × 31¹ × 487¹ × 11¹ × 1373¹
LCM(45291,45309) = 684029973