What is the Least Common Multiple of 28749 and 28760?

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 28749 and 28760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28749 and 28760, than apply into the LCM equation.

GCF(28749,28760) = 1
LCM(28749,28760) = ( 28749 × 28760) / 1
LCM(28749,28760) = 826821240 / 1
LCM(28749,28760) = 826821240

Least Common Multiple (LCM) of 28749 and 28760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28749 and 28760. First we will calculate the prime factors of 28749 and 28760.

Prime Factorization of 28749

Prime Factorization of 28760

Now multiplying the highest exponent prime factors to calculate the LCM of 28749 and 28760.

LCM(28749,28760) = 3¹ × 7¹ × 37² × 2³ × 5¹ × 719¹
LCM(28749,28760) = 826821240