What is the Least Common Multiple of 28176 and 28192?

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 28176 and 28192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28176 and 28192, than apply into the LCM equation.

GCF(28176,28192) = 16
LCM(28176,28192) = ( 28176 × 28192) / 16
LCM(28176,28192) = 794337792 / 16
LCM(28176,28192) = 49646112

Least Common Multiple (LCM) of 28176 and 28192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28176 and 28192. First we will calculate the prime factors of 28176 and 28192.

Prime Factorization of 28176

Prime Factorization of 28192

Now multiplying the highest exponent prime factors to calculate the LCM of 28176 and 28192.

LCM(28176,28192) = 2⁵ × 3¹ × 587¹ × 881¹
LCM(28176,28192) = 49646112