What is the Least Common Multiple of 83056 and 83070?

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 83070 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 83070, than apply into the LCM equation.

GCF(83056,83070) = 2
LCM(83056,83070) = ( 83056 × 83070) / 2
LCM(83056,83070) = 6899461920 / 2
LCM(83056,83070) = 3449730960

Least Common Multiple (LCM) of 83056 and 83070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83056 and 83070. First we will calculate the prime factors of 83056 and 83070.

Prime Factorization of 83056

Prime Factorization of 83070

Now multiplying the highest exponent prime factors to calculate the LCM of 83056 and 83070.

LCM(83056,83070) = 2⁴ × 29¹ × 179¹ × 3² × 5¹ × 13¹ × 71¹
LCM(83056,83070) = 3449730960