What is the Least Common Multiple of 29058 and 29066?

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 29058 and 29066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29058 and 29066, than apply into the LCM equation.

GCF(29058,29066) = 2
LCM(29058,29066) = ( 29058 × 29066) / 2
LCM(29058,29066) = 844599828 / 2
LCM(29058,29066) = 422299914

Least Common Multiple (LCM) of 29058 and 29066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29058 and 29066. First we will calculate the prime factors of 29058 and 29066.

Prime Factorization of 29058

Prime Factorization of 29066

Now multiplying the highest exponent prime factors to calculate the LCM of 29058 and 29066.

LCM(29058,29066) = 2¹ × 3¹ × 29¹ × 167¹ × 14533¹
LCM(29058,29066) = 422299914