What is the Least Common Multiple of 22750 and 22754?

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 22750 and 22754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22750 and 22754, than apply into the LCM equation.

GCF(22750,22754) = 2
LCM(22750,22754) = ( 22750 × 22754) / 2
LCM(22750,22754) = 517653500 / 2
LCM(22750,22754) = 258826750

Least Common Multiple (LCM) of 22750 and 22754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22750 and 22754. First we will calculate the prime factors of 22750 and 22754.

Prime Factorization of 22750

Prime Factorization of 22754

Now multiplying the highest exponent prime factors to calculate the LCM of 22750 and 22754.

LCM(22750,22754) = 2¹ × 5³ × 7¹ × 13¹ × 31¹ × 367¹
LCM(22750,22754) = 258826750