What is the Least Common Multiple of 28330 and 28342?

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 28330 and 28342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28330 and 28342, than apply into the LCM equation.

GCF(28330,28342) = 2
LCM(28330,28342) = ( 28330 × 28342) / 2
LCM(28330,28342) = 802928860 / 2
LCM(28330,28342) = 401464430

Least Common Multiple (LCM) of 28330 and 28342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28330 and 28342. First we will calculate the prime factors of 28330 and 28342.

Prime Factorization of 28330

Prime Factorization of 28342

Now multiplying the highest exponent prime factors to calculate the LCM of 28330 and 28342.

LCM(28330,28342) = 2¹ × 5¹ × 2833¹ × 37¹ × 383¹
LCM(28330,28342) = 401464430