What is the Least Common Multiple of 28540 and 28546?

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 28540 and 28546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28540 and 28546, than apply into the LCM equation.

GCF(28540,28546) = 2
LCM(28540,28546) = ( 28540 × 28546) / 2
LCM(28540,28546) = 814702840 / 2
LCM(28540,28546) = 407351420

Least Common Multiple (LCM) of 28540 and 28546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28540 and 28546. First we will calculate the prime factors of 28540 and 28546.

Prime Factorization of 28540

Prime Factorization of 28546

Now multiplying the highest exponent prime factors to calculate the LCM of 28540 and 28546.

LCM(28540,28546) = 2² × 5¹ × 1427¹ × 7¹ × 2039¹
LCM(28540,28546) = 407351420