What is the Least Common Multiple of 28679 and 28696?

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 28679 and 28696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28679 and 28696, than apply into the LCM equation.

GCF(28679,28696) = 17
LCM(28679,28696) = ( 28679 × 28696) / 17
LCM(28679,28696) = 822972584 / 17
LCM(28679,28696) = 48410152

Least Common Multiple (LCM) of 28679 and 28696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28679 and 28696. First we will calculate the prime factors of 28679 and 28696.

Prime Factorization of 28679

Prime Factorization of 28696

Now multiplying the highest exponent prime factors to calculate the LCM of 28679 and 28696.

LCM(28679,28696) = 7¹ × 17¹ × 241¹ × 2³ × 211¹
LCM(28679,28696) = 48410152