What is the Least Common Multiple of 22782 and 22800?

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 22782 and 22800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22782 and 22800, than apply into the LCM equation.

GCF(22782,22800) = 6
LCM(22782,22800) = ( 22782 × 22800) / 6
LCM(22782,22800) = 519429600 / 6
LCM(22782,22800) = 86571600

Least Common Multiple (LCM) of 22782 and 22800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22782 and 22800. First we will calculate the prime factors of 22782 and 22800.

Prime Factorization of 22782

Prime Factorization of 22800

Now multiplying the highest exponent prime factors to calculate the LCM of 22782 and 22800.

LCM(22782,22800) = 2⁴ × 3¹ × 3797¹ × 5² × 19¹
LCM(22782,22800) = 86571600