What is the Least Common Multiple of 22465 and 22484?

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 22465 and 22484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22465 and 22484, than apply into the LCM equation.

GCF(22465,22484) = 1
LCM(22465,22484) = ( 22465 × 22484) / 1
LCM(22465,22484) = 505103060 / 1
LCM(22465,22484) = 505103060

Least Common Multiple (LCM) of 22465 and 22484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22465 and 22484. First we will calculate the prime factors of 22465 and 22484.

Prime Factorization of 22465

Prime Factorization of 22484

Now multiplying the highest exponent prime factors to calculate the LCM of 22465 and 22484.

LCM(22465,22484) = 5¹ × 4493¹ × 2² × 7¹ × 11¹ × 73¹
LCM(22465,22484) = 505103060