What is the Least Common Multiple of 28674 and 28693?

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 28674 and 28693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28674 and 28693, than apply into the LCM equation.

GCF(28674,28693) = 1
LCM(28674,28693) = ( 28674 × 28693) / 1
LCM(28674,28693) = 822743082 / 1
LCM(28674,28693) = 822743082

Least Common Multiple (LCM) of 28674 and 28693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28674 and 28693. First we will calculate the prime factors of 28674 and 28693.

Prime Factorization of 28674

Prime Factorization of 28693

Now multiplying the highest exponent prime factors to calculate the LCM of 28674 and 28693.

LCM(28674,28693) = 2¹ × 3⁵ × 59¹ × 7¹ × 4099¹
LCM(28674,28693) = 822743082