What is the Least Common Multiple of 28656 and 28670?

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 28656 and 28670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28656 and 28670, than apply into the LCM equation.

GCF(28656,28670) = 2
LCM(28656,28670) = ( 28656 × 28670) / 2
LCM(28656,28670) = 821567520 / 2
LCM(28656,28670) = 410783760

Least Common Multiple (LCM) of 28656 and 28670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28656 and 28670. First we will calculate the prime factors of 28656 and 28670.

Prime Factorization of 28656

Prime Factorization of 28670

Now multiplying the highest exponent prime factors to calculate the LCM of 28656 and 28670.

LCM(28656,28670) = 2⁴ × 3² × 199¹ × 5¹ × 47¹ × 61¹
LCM(28656,28670) = 410783760