What is the Least Common Multiple of 8352 and 8363?

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 8352 and 8363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8352 and 8363, than apply into the LCM equation.

GCF(8352,8363) = 1
LCM(8352,8363) = ( 8352 × 8363) / 1
LCM(8352,8363) = 69847776 / 1
LCM(8352,8363) = 69847776

Least Common Multiple (LCM) of 8352 and 8363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8352 and 8363. First we will calculate the prime factors of 8352 and 8363.

Prime Factorization of 8352

Prime Factorization of 8363

Now multiplying the highest exponent prime factors to calculate the LCM of 8352 and 8363.

LCM(8352,8363) = 2⁵ × 3² × 29¹ × 8363¹
LCM(8352,8363) = 69847776