What is the Least Common Multiple of 83046 and 83064?

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 83046 and 83064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83046 and 83064, than apply into the LCM equation.

GCF(83046,83064) = 6
LCM(83046,83064) = ( 83046 × 83064) / 6
LCM(83046,83064) = 6898132944 / 6
LCM(83046,83064) = 1149688824

Least Common Multiple (LCM) of 83046 and 83064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83046 and 83064. First we will calculate the prime factors of 83046 and 83064.

Prime Factorization of 83046

Prime Factorization of 83064

Now multiplying the highest exponent prime factors to calculate the LCM of 83046 and 83064.

LCM(83046,83064) = 2³ × 3¹ × 13841¹ × 3461¹
LCM(83046,83064) = 1149688824