What is the Least Common Multiple of 22613 and 22629?

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 22613 and 22629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22613 and 22629, than apply into the LCM equation.

GCF(22613,22629) = 1
LCM(22613,22629) = ( 22613 × 22629) / 1
LCM(22613,22629) = 511709577 / 1
LCM(22613,22629) = 511709577

Least Common Multiple (LCM) of 22613 and 22629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22613 and 22629. First we will calculate the prime factors of 22613 and 22629.

Prime Factorization of 22613

Prime Factorization of 22629

Now multiplying the highest exponent prime factors to calculate the LCM of 22613 and 22629.

LCM(22613,22629) = 22613¹ × 3¹ × 19¹ × 397¹
LCM(22613,22629) = 511709577