What is the Least Common Multiple of 70784 and 70796?

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 70784 and 70796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70784 and 70796, than apply into the LCM equation.

GCF(70784,70796) = 4
LCM(70784,70796) = ( 70784 × 70796) / 4
LCM(70784,70796) = 5011224064 / 4
LCM(70784,70796) = 1252806016

Least Common Multiple (LCM) of 70784 and 70796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70784 and 70796. First we will calculate the prime factors of 70784 and 70796.

Prime Factorization of 70784

Prime Factorization of 70796

Now multiplying the highest exponent prime factors to calculate the LCM of 70784 and 70796.

LCM(70784,70796) = 2⁷ × 7¹ × 79¹ × 11¹ × 1609¹
LCM(70784,70796) = 1252806016