What is the Least Common Multiple of 28670 and 28688?

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 28670 and 28688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28670 and 28688, than apply into the LCM equation.

GCF(28670,28688) = 2
LCM(28670,28688) = ( 28670 × 28688) / 2
LCM(28670,28688) = 822484960 / 2
LCM(28670,28688) = 411242480

Least Common Multiple (LCM) of 28670 and 28688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28670 and 28688. First we will calculate the prime factors of 28670 and 28688.

Prime Factorization of 28670

Prime Factorization of 28688

Now multiplying the highest exponent prime factors to calculate the LCM of 28670 and 28688.

LCM(28670,28688) = 2⁴ × 5¹ × 47¹ × 61¹ × 11¹ × 163¹
LCM(28670,28688) = 411242480