What is the Least Common Multiple of 22250 and 22270?

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 22250 and 22270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22250 and 22270, than apply into the LCM equation.

GCF(22250,22270) = 10
LCM(22250,22270) = ( 22250 × 22270) / 10
LCM(22250,22270) = 495507500 / 10
LCM(22250,22270) = 49550750

Least Common Multiple (LCM) of 22250 and 22270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22250 and 22270. First we will calculate the prime factors of 22250 and 22270.

Prime Factorization of 22250

Prime Factorization of 22270

Now multiplying the highest exponent prime factors to calculate the LCM of 22250 and 22270.

LCM(22250,22270) = 2¹ × 5³ × 89¹ × 17¹ × 131¹
LCM(22250,22270) = 49550750