What is the Least Common Multiple of 22953 and 22969?

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 22953 and 22969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22953 and 22969, than apply into the LCM equation.

GCF(22953,22969) = 1
LCM(22953,22969) = ( 22953 × 22969) / 1
LCM(22953,22969) = 527207457 / 1
LCM(22953,22969) = 527207457

Least Common Multiple (LCM) of 22953 and 22969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22953 and 22969. First we will calculate the prime factors of 22953 and 22969.

Prime Factorization of 22953

Prime Factorization of 22969

Now multiplying the highest exponent prime factors to calculate the LCM of 22953 and 22969.

LCM(22953,22969) = 3¹ × 7¹ × 1093¹ × 103¹ × 223¹
LCM(22953,22969) = 527207457