What is the Least Common Multiple of 22302 and 22312?

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 22302 and 22312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22302 and 22312, than apply into the LCM equation.

GCF(22302,22312) = 2
LCM(22302,22312) = ( 22302 × 22312) / 2
LCM(22302,22312) = 497602224 / 2
LCM(22302,22312) = 248801112

Least Common Multiple (LCM) of 22302 and 22312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22302 and 22312. First we will calculate the prime factors of 22302 and 22312.

Prime Factorization of 22302

Prime Factorization of 22312

Now multiplying the highest exponent prime factors to calculate the LCM of 22302 and 22312.

LCM(22302,22312) = 2³ × 3³ × 7¹ × 59¹ × 2789¹
LCM(22302,22312) = 248801112