What is the Least Common Multiple of 28688 and 28702?

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 28688 and 28702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28688 and 28702, than apply into the LCM equation.

GCF(28688,28702) = 2
LCM(28688,28702) = ( 28688 × 28702) / 2
LCM(28688,28702) = 823402976 / 2
LCM(28688,28702) = 411701488

Least Common Multiple (LCM) of 28688 and 28702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28688 and 28702. First we will calculate the prime factors of 28688 and 28702.

Prime Factorization of 28688

Prime Factorization of 28702

Now multiplying the highest exponent prime factors to calculate the LCM of 28688 and 28702.

LCM(28688,28702) = 2⁴ × 11¹ × 163¹ × 113¹ × 127¹
LCM(28688,28702) = 411701488