What is the Least Common Multiple of 83408 and 83419?

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 83408 and 83419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83408 and 83419, than apply into the LCM equation.

GCF(83408,83419) = 1
LCM(83408,83419) = ( 83408 × 83419) / 1
LCM(83408,83419) = 6957811952 / 1
LCM(83408,83419) = 6957811952

Least Common Multiple (LCM) of 83408 and 83419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83408 and 83419. First we will calculate the prime factors of 83408 and 83419.

Prime Factorization of 83408

Prime Factorization of 83419

Now multiplying the highest exponent prime factors to calculate the LCM of 83408 and 83419.

LCM(83408,83419) = 2⁴ × 13¹ × 401¹ × 7¹ × 17¹ × 701¹
LCM(83408,83419) = 6957811952