What is the Least Common Multiple of 22546 and 22558?

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 22546 and 22558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22546 and 22558, than apply into the LCM equation.

GCF(22546,22558) = 2
LCM(22546,22558) = ( 22546 × 22558) / 2
LCM(22546,22558) = 508592668 / 2
LCM(22546,22558) = 254296334

Least Common Multiple (LCM) of 22546 and 22558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22546 and 22558. First we will calculate the prime factors of 22546 and 22558.

Prime Factorization of 22546

Prime Factorization of 22558

Now multiplying the highest exponent prime factors to calculate the LCM of 22546 and 22558.

LCM(22546,22558) = 2¹ × 11273¹ × 11279¹
LCM(22546,22558) = 254296334