What is the Least Common Multiple of 28460 and 28474?

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 28460 and 28474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28460 and 28474, than apply into the LCM equation.

GCF(28460,28474) = 2
LCM(28460,28474) = ( 28460 × 28474) / 2
LCM(28460,28474) = 810370040 / 2
LCM(28460,28474) = 405185020

Least Common Multiple (LCM) of 28460 and 28474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28460 and 28474. First we will calculate the prime factors of 28460 and 28474.

Prime Factorization of 28460

Prime Factorization of 28474

Now multiplying the highest exponent prime factors to calculate the LCM of 28460 and 28474.

LCM(28460,28474) = 2² × 5¹ × 1423¹ × 23¹ × 619¹
LCM(28460,28474) = 405185020