What is the Least Common Multiple of 28352 and 28362?

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 28352 and 28362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28352 and 28362, than apply into the LCM equation.

GCF(28352,28362) = 2
LCM(28352,28362) = ( 28352 × 28362) / 2
LCM(28352,28362) = 804119424 / 2
LCM(28352,28362) = 402059712

Least Common Multiple (LCM) of 28352 and 28362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28352 and 28362. First we will calculate the prime factors of 28352 and 28362.

Prime Factorization of 28352

Prime Factorization of 28362

Now multiplying the highest exponent prime factors to calculate the LCM of 28352 and 28362.

LCM(28352,28362) = 2⁶ × 443¹ × 3¹ × 29¹ × 163¹
LCM(28352,28362) = 402059712