What is the Least Common Multiple of 22479 and 22490?

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 22479 and 22490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22479 and 22490, than apply into the LCM equation.

GCF(22479,22490) = 1
LCM(22479,22490) = ( 22479 × 22490) / 1
LCM(22479,22490) = 505552710 / 1
LCM(22479,22490) = 505552710

Least Common Multiple (LCM) of 22479 and 22490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22479 and 22490. First we will calculate the prime factors of 22479 and 22490.

Prime Factorization of 22479

Prime Factorization of 22490

Now multiplying the highest exponent prime factors to calculate the LCM of 22479 and 22490.

LCM(22479,22490) = 3¹ × 59¹ × 127¹ × 2¹ × 5¹ × 13¹ × 173¹
LCM(22479,22490) = 505552710