What is the Least Common Multiple of 22948 and 22958?

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 22948 and 22958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22948 and 22958, than apply into the LCM equation.

GCF(22948,22958) = 2
LCM(22948,22958) = ( 22948 × 22958) / 2
LCM(22948,22958) = 526840184 / 2
LCM(22948,22958) = 263420092

Least Common Multiple (LCM) of 22948 and 22958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22948 and 22958. First we will calculate the prime factors of 22948 and 22958.

Prime Factorization of 22948

Prime Factorization of 22958

Now multiplying the highest exponent prime factors to calculate the LCM of 22948 and 22958.

LCM(22948,22958) = 2² × 5737¹ × 13¹ × 883¹
LCM(22948,22958) = 263420092