What is the Least Common Multiple of 28896 and 28902?

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 28896 and 28902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28896 and 28902, than apply into the LCM equation.

GCF(28896,28902) = 6
LCM(28896,28902) = ( 28896 × 28902) / 6
LCM(28896,28902) = 835152192 / 6
LCM(28896,28902) = 139192032

Least Common Multiple (LCM) of 28896 and 28902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28896 and 28902. First we will calculate the prime factors of 28896 and 28902.

Prime Factorization of 28896

Prime Factorization of 28902

Now multiplying the highest exponent prime factors to calculate the LCM of 28896 and 28902.

LCM(28896,28902) = 2⁵ × 3¹ × 7¹ × 43¹ × 4817¹
LCM(28896,28902) = 139192032