What is the Least Common Multiple of 83408 and 83428?

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 83428 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 83428, than apply into the LCM equation.

GCF(83408,83428) = 4
LCM(83408,83428) = ( 83408 × 83428) / 4
LCM(83408,83428) = 6958562624 / 4
LCM(83408,83428) = 1739640656

Least Common Multiple (LCM) of 83408 and 83428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83408 and 83428. First we will calculate the prime factors of 83408 and 83428.

Prime Factorization of 83408

Prime Factorization of 83428

Now multiplying the highest exponent prime factors to calculate the LCM of 83408 and 83428.

LCM(83408,83428) = 2⁴ × 13¹ × 401¹ × 20857¹
LCM(83408,83428) = 1739640656