What is the Least Common Multiple of 83308 and 83328?

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 83308 and 83328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83308 and 83328, than apply into the LCM equation.

GCF(83308,83328) = 4
LCM(83308,83328) = ( 83308 × 83328) / 4
LCM(83308,83328) = 6941889024 / 4
LCM(83308,83328) = 1735472256

Least Common Multiple (LCM) of 83308 and 83328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83308 and 83328. First we will calculate the prime factors of 83308 and 83328.

Prime Factorization of 83308

Prime Factorization of 83328

Now multiplying the highest exponent prime factors to calculate the LCM of 83308 and 83328.

LCM(83308,83328) = 2⁷ × 59¹ × 353¹ × 3¹ × 7¹ × 31¹
LCM(83308,83328) = 1735472256