What is the Least Common Multiple of 22455 and 22460?

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 22455 and 22460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22455 and 22460, than apply into the LCM equation.

GCF(22455,22460) = 5
LCM(22455,22460) = ( 22455 × 22460) / 5
LCM(22455,22460) = 504339300 / 5
LCM(22455,22460) = 100867860

Least Common Multiple (LCM) of 22455 and 22460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22455 and 22460. First we will calculate the prime factors of 22455 and 22460.

Prime Factorization of 22455

Prime Factorization of 22460

Now multiplying the highest exponent prime factors to calculate the LCM of 22455 and 22460.

LCM(22455,22460) = 3² × 5¹ × 499¹ × 2² × 1123¹
LCM(22455,22460) = 100867860