What is the Least Common Multiple of 22592 and 22610?

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 22592 and 22610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22592 and 22610, than apply into the LCM equation.

GCF(22592,22610) = 2
LCM(22592,22610) = ( 22592 × 22610) / 2
LCM(22592,22610) = 510805120 / 2
LCM(22592,22610) = 255402560

Least Common Multiple (LCM) of 22592 and 22610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22592 and 22610. First we will calculate the prime factors of 22592 and 22610.

Prime Factorization of 22592

Prime Factorization of 22610

Now multiplying the highest exponent prime factors to calculate the LCM of 22592 and 22610.

LCM(22592,22610) = 2⁶ × 353¹ × 5¹ × 7¹ × 17¹ × 19¹
LCM(22592,22610) = 255402560