What is the Least Common Multiple of 22280 and 22284?

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 22280 and 22284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22280 and 22284, than apply into the LCM equation.

GCF(22280,22284) = 4
LCM(22280,22284) = ( 22280 × 22284) / 4
LCM(22280,22284) = 496487520 / 4
LCM(22280,22284) = 124121880

Least Common Multiple (LCM) of 22280 and 22284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22280 and 22284. First we will calculate the prime factors of 22280 and 22284.

Prime Factorization of 22280

Prime Factorization of 22284

Now multiplying the highest exponent prime factors to calculate the LCM of 22280 and 22284.

LCM(22280,22284) = 2³ × 5¹ × 557¹ × 3² × 619¹
LCM(22280,22284) = 124121880