What is the Least Common Multiple of 22957 and 22961?

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 22957 and 22961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22957 and 22961, than apply into the LCM equation.

GCF(22957,22961) = 1
LCM(22957,22961) = ( 22957 × 22961) / 1
LCM(22957,22961) = 527115677 / 1
LCM(22957,22961) = 527115677

Least Common Multiple (LCM) of 22957 and 22961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22957 and 22961. First we will calculate the prime factors of 22957 and 22961.

Prime Factorization of 22957

Prime Factorization of 22961

Now multiplying the highest exponent prime factors to calculate the LCM of 22957 and 22961.

LCM(22957,22961) = 11¹ × 2087¹ × 22961¹
LCM(22957,22961) = 527115677