What is the Least Common Multiple of 22274 and 22285?

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 22274 and 22285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22274 and 22285, than apply into the LCM equation.

GCF(22274,22285) = 1
LCM(22274,22285) = ( 22274 × 22285) / 1
LCM(22274,22285) = 496376090 / 1
LCM(22274,22285) = 496376090

Least Common Multiple (LCM) of 22274 and 22285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22274 and 22285. First we will calculate the prime factors of 22274 and 22285.

Prime Factorization of 22274

Prime Factorization of 22285

Now multiplying the highest exponent prime factors to calculate the LCM of 22274 and 22285.

LCM(22274,22285) = 2¹ × 7¹ × 37¹ × 43¹ × 5¹ × 4457¹
LCM(22274,22285) = 496376090