What is the Least Common Multiple of 23618 and 23622?

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 23618 and 23622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23618 and 23622, than apply into the LCM equation.

GCF(23618,23622) = 2
LCM(23618,23622) = ( 23618 × 23622) / 2
LCM(23618,23622) = 557904396 / 2
LCM(23618,23622) = 278952198

Least Common Multiple (LCM) of 23618 and 23622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23618 and 23622. First we will calculate the prime factors of 23618 and 23622.

Prime Factorization of 23618

Prime Factorization of 23622

Now multiplying the highest exponent prime factors to calculate the LCM of 23618 and 23622.

LCM(23618,23622) = 2¹ × 7² × 241¹ × 3¹ × 31¹ × 127¹
LCM(23618,23622) = 278952198