What is the Least Common Multiple of 22460 and 22474?

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 22460 and 22474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22460 and 22474, than apply into the LCM equation.

GCF(22460,22474) = 2
LCM(22460,22474) = ( 22460 × 22474) / 2
LCM(22460,22474) = 504766040 / 2
LCM(22460,22474) = 252383020

Least Common Multiple (LCM) of 22460 and 22474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22460 and 22474. First we will calculate the prime factors of 22460 and 22474.

Prime Factorization of 22460

Prime Factorization of 22474

Now multiplying the highest exponent prime factors to calculate the LCM of 22460 and 22474.

LCM(22460,22474) = 2² × 5¹ × 1123¹ × 17¹ × 661¹
LCM(22460,22474) = 252383020