What is the Least Common Multiple of 83056 and 83074?

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 83056 and 83074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83056 and 83074, than apply into the LCM equation.

GCF(83056,83074) = 2
LCM(83056,83074) = ( 83056 × 83074) / 2
LCM(83056,83074) = 6899794144 / 2
LCM(83056,83074) = 3449897072

Least Common Multiple (LCM) of 83056 and 83074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83056 and 83074. First we will calculate the prime factors of 83056 and 83074.

Prime Factorization of 83056

Prime Factorization of 83074

Now multiplying the highest exponent prime factors to calculate the LCM of 83056 and 83074.

LCM(83056,83074) = 2⁴ × 29¹ × 179¹ × 73¹ × 569¹
LCM(83056,83074) = 3449897072