What is the Least Common Multiple of 28752 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 28752 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 28752 and 28760, than apply into the LCM equation.

GCF(28752,28760) = 8
LCM(28752,28760) = ( 28752 × 28760) / 8
LCM(28752,28760) = 826907520 / 8
LCM(28752,28760) = 103363440

Least Common Multiple (LCM) of 28752 and 28760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28752 and 28760. First we will calculate the prime factors of 28752 and 28760.

Prime Factorization of 28752

Prime Factorization of 28760

Now multiplying the highest exponent prime factors to calculate the LCM of 28752 and 28760.

LCM(28752,28760) = 2⁴ × 3¹ × 599¹ × 5¹ × 719¹
LCM(28752,28760) = 103363440