What is the Least Common Multiple of 22578 and 22587?

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 22578 and 22587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22578 and 22587, than apply into the LCM equation.

GCF(22578,22587) = 3
LCM(22578,22587) = ( 22578 × 22587) / 3
LCM(22578,22587) = 509969286 / 3
LCM(22578,22587) = 169989762

Least Common Multiple (LCM) of 22578 and 22587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22578 and 22587. First we will calculate the prime factors of 22578 and 22587.

Prime Factorization of 22578

Prime Factorization of 22587

Now multiplying the highest exponent prime factors to calculate the LCM of 22578 and 22587.

LCM(22578,22587) = 2¹ × 3¹ × 53¹ × 71¹ × 7529¹
LCM(22578,22587) = 169989762