What is the Least Common Multiple of 83376 and 83384?

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 83376 and 83384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83376 and 83384, than apply into the LCM equation.

GCF(83376,83384) = 8
LCM(83376,83384) = ( 83376 × 83384) / 8
LCM(83376,83384) = 6952224384 / 8
LCM(83376,83384) = 869028048

Least Common Multiple (LCM) of 83376 and 83384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83376 and 83384. First we will calculate the prime factors of 83376 and 83384.

Prime Factorization of 83376

Prime Factorization of 83384

Now multiplying the highest exponent prime factors to calculate the LCM of 83376 and 83384.

LCM(83376,83384) = 2⁴ × 3³ × 193¹ × 7¹ × 1489¹
LCM(83376,83384) = 869028048