What is the Least Common Multiple of 93309 and 93328?

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 93309 and 93328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93309 and 93328, than apply into the LCM equation.

GCF(93309,93328) = 19
LCM(93309,93328) = ( 93309 × 93328) / 19
LCM(93309,93328) = 8708342352 / 19
LCM(93309,93328) = 458333808

Least Common Multiple (LCM) of 93309 and 93328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93309 and 93328. First we will calculate the prime factors of 93309 and 93328.

Prime Factorization of 93309

Prime Factorization of 93328

Now multiplying the highest exponent prime factors to calculate the LCM of 93309 and 93328.

LCM(93309,93328) = 3¹ × 19¹ × 1637¹ × 2⁴ × 307¹
LCM(93309,93328) = 458333808