What is the Least Common Multiple of 69375 and 69382?

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 69375 and 69382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69375 and 69382, than apply into the LCM equation.

GCF(69375,69382) = 1
LCM(69375,69382) = ( 69375 × 69382) / 1
LCM(69375,69382) = 4813376250 / 1
LCM(69375,69382) = 4813376250

Least Common Multiple (LCM) of 69375 and 69382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69375 and 69382. First we will calculate the prime factors of 69375 and 69382.

Prime Factorization of 69375

Prime Factorization of 69382

Now multiplying the highest exponent prime factors to calculate the LCM of 69375 and 69382.

LCM(69375,69382) = 3¹ × 5⁴ × 37¹ × 2¹ × 113¹ × 307¹
LCM(69375,69382) = 4813376250