What is the Least Common Multiple of 22578 and 22598?

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 22598 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 22598, than apply into the LCM equation.

GCF(22578,22598) = 2
LCM(22578,22598) = ( 22578 × 22598) / 2
LCM(22578,22598) = 510217644 / 2
LCM(22578,22598) = 255108822

Least Common Multiple (LCM) of 22578 and 22598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22578 and 22598. First we will calculate the prime factors of 22578 and 22598.

Prime Factorization of 22578

Prime Factorization of 22598

Now multiplying the highest exponent prime factors to calculate the LCM of 22578 and 22598.

LCM(22578,22598) = 2¹ × 3¹ × 53¹ × 71¹ × 11299¹
LCM(22578,22598) = 255108822