What is the Least Common Multiple of 28546 and 28560?

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 28546 and 28560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28546 and 28560, than apply into the LCM equation.

GCF(28546,28560) = 14
LCM(28546,28560) = ( 28546 × 28560) / 14
LCM(28546,28560) = 815273760 / 14
LCM(28546,28560) = 58233840

Least Common Multiple (LCM) of 28546 and 28560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28546 and 28560. First we will calculate the prime factors of 28546 and 28560.

Prime Factorization of 28546

Prime Factorization of 28560

Now multiplying the highest exponent prime factors to calculate the LCM of 28546 and 28560.

LCM(28546,28560) = 2⁴ × 7¹ × 2039¹ × 3¹ × 5¹ × 17¹
LCM(28546,28560) = 58233840