What is the Least Common Multiple of 29046 and 29059?

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 29046 and 29059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29046 and 29059, than apply into the LCM equation.

GCF(29046,29059) = 1
LCM(29046,29059) = ( 29046 × 29059) / 1
LCM(29046,29059) = 844047714 / 1
LCM(29046,29059) = 844047714

Least Common Multiple (LCM) of 29046 and 29059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29046 and 29059. First we will calculate the prime factors of 29046 and 29059.

Prime Factorization of 29046

Prime Factorization of 29059

Now multiplying the highest exponent prime factors to calculate the LCM of 29046 and 29059.

LCM(29046,29059) = 2¹ × 3¹ × 47¹ × 103¹ × 29059¹
LCM(29046,29059) = 844047714