What is the Least Common Multiple of 28614 and 28633?

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 28614 and 28633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28614 and 28633, than apply into the LCM equation.

GCF(28614,28633) = 19
LCM(28614,28633) = ( 28614 × 28633) / 19
LCM(28614,28633) = 819304662 / 19
LCM(28614,28633) = 43121298

Least Common Multiple (LCM) of 28614 and 28633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28614 and 28633. First we will calculate the prime factors of 28614 and 28633.

Prime Factorization of 28614

Prime Factorization of 28633

Now multiplying the highest exponent prime factors to calculate the LCM of 28614 and 28633.

LCM(28614,28633) = 2¹ × 3¹ × 19¹ × 251¹ × 11¹ × 137¹
LCM(28614,28633) = 43121298