What is the Least Common Multiple of 22654 and 22662?

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 22654 and 22662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22654 and 22662, than apply into the LCM equation.

GCF(22654,22662) = 2
LCM(22654,22662) = ( 22654 × 22662) / 2
LCM(22654,22662) = 513384948 / 2
LCM(22654,22662) = 256692474

Least Common Multiple (LCM) of 22654 and 22662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22654 and 22662. First we will calculate the prime factors of 22654 and 22662.

Prime Factorization of 22654

Prime Factorization of 22662

Now multiplying the highest exponent prime factors to calculate the LCM of 22654 and 22662.

LCM(22654,22662) = 2¹ × 47¹ × 241¹ × 3² × 1259¹
LCM(22654,22662) = 256692474