What is the Least Common Multiple of 45604 and 45622?

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 45604 and 45622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45604 and 45622, than apply into the LCM equation.

GCF(45604,45622) = 2
LCM(45604,45622) = ( 45604 × 45622) / 2
LCM(45604,45622) = 2080545688 / 2
LCM(45604,45622) = 1040272844

Least Common Multiple (LCM) of 45604 and 45622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45604 and 45622. First we will calculate the prime factors of 45604 and 45622.

Prime Factorization of 45604

Prime Factorization of 45622

Now multiplying the highest exponent prime factors to calculate the LCM of 45604 and 45622.

LCM(45604,45622) = 2² × 13¹ × 877¹ × 22811¹
LCM(45604,45622) = 1040272844