What is the Least Common Multiple of 29458 and 29477?

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 29458 and 29477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29458 and 29477, than apply into the LCM equation.

GCF(29458,29477) = 1
LCM(29458,29477) = ( 29458 × 29477) / 1
LCM(29458,29477) = 868333466 / 1
LCM(29458,29477) = 868333466

Least Common Multiple (LCM) of 29458 and 29477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29458 and 29477. First we will calculate the prime factors of 29458 and 29477.

Prime Factorization of 29458

Prime Factorization of 29477

Now multiplying the highest exponent prime factors to calculate the LCM of 29458 and 29477.

LCM(29458,29477) = 2¹ × 11¹ × 13¹ × 103¹ × 7¹ × 4211¹
LCM(29458,29477) = 868333466