What is the Least Common Multiple of 83396 and 83414?

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 83396 and 83414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83396 and 83414, than apply into the LCM equation.

GCF(83396,83414) = 2
LCM(83396,83414) = ( 83396 × 83414) / 2
LCM(83396,83414) = 6956393944 / 2
LCM(83396,83414) = 3478196972

Least Common Multiple (LCM) of 83396 and 83414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83396 and 83414. First we will calculate the prime factors of 83396 and 83414.

Prime Factorization of 83396

Prime Factorization of 83414

Now multiplying the highest exponent prime factors to calculate the LCM of 83396 and 83414.

LCM(83396,83414) = 2² × 20849¹ × 179¹ × 233¹
LCM(83396,83414) = 3478196972