What is the Least Common Multiple of 45804 and 45822?

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 45804 and 45822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45804 and 45822, than apply into the LCM equation.

GCF(45804,45822) = 6
LCM(45804,45822) = ( 45804 × 45822) / 6
LCM(45804,45822) = 2098830888 / 6
LCM(45804,45822) = 349805148

Least Common Multiple (LCM) of 45804 and 45822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45804 and 45822. First we will calculate the prime factors of 45804 and 45822.

Prime Factorization of 45804

Prime Factorization of 45822

Now multiplying the highest exponent prime factors to calculate the LCM of 45804 and 45822.

LCM(45804,45822) = 2² × 3¹ × 11¹ × 347¹ × 7¹ × 1091¹
LCM(45804,45822) = 349805148