What is the Least Common Multiple of 22700 and 22714?

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 22700 and 22714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22700 and 22714, than apply into the LCM equation.

GCF(22700,22714) = 2
LCM(22700,22714) = ( 22700 × 22714) / 2
LCM(22700,22714) = 515607800 / 2
LCM(22700,22714) = 257803900

Least Common Multiple (LCM) of 22700 and 22714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22700 and 22714. First we will calculate the prime factors of 22700 and 22714.

Prime Factorization of 22700

Prime Factorization of 22714

Now multiplying the highest exponent prime factors to calculate the LCM of 22700 and 22714.

LCM(22700,22714) = 2² × 5² × 227¹ × 41¹ × 277¹
LCM(22700,22714) = 257803900