What is the Least Common Multiple of 45579 and 45585?

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 45579 and 45585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45579 and 45585, than apply into the LCM equation.

GCF(45579,45585) = 3
LCM(45579,45585) = ( 45579 × 45585) / 3
LCM(45579,45585) = 2077718715 / 3
LCM(45579,45585) = 692572905

Least Common Multiple (LCM) of 45579 and 45585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45579 and 45585. First we will calculate the prime factors of 45579 and 45585.

Prime Factorization of 45579

Prime Factorization of 45585

Now multiplying the highest exponent prime factors to calculate the LCM of 45579 and 45585.

LCM(45579,45585) = 3² × 15193¹ × 5¹ × 1013¹
LCM(45579,45585) = 692572905