What is the Least Common Multiple of 22814 and 22830?

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 22814 and 22830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22814 and 22830, than apply into the LCM equation.

GCF(22814,22830) = 2
LCM(22814,22830) = ( 22814 × 22830) / 2
LCM(22814,22830) = 520843620 / 2
LCM(22814,22830) = 260421810

Least Common Multiple (LCM) of 22814 and 22830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22814 and 22830. First we will calculate the prime factors of 22814 and 22830.

Prime Factorization of 22814

Prime Factorization of 22830

Now multiplying the highest exponent prime factors to calculate the LCM of 22814 and 22830.

LCM(22814,22830) = 2¹ × 11¹ × 17¹ × 61¹ × 3¹ × 5¹ × 761¹
LCM(22814,22830) = 260421810