What is the Least Common Multiple of 29290 and 29294?

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 29290 and 29294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29290 and 29294, than apply into the LCM equation.

GCF(29290,29294) = 2
LCM(29290,29294) = ( 29290 × 29294) / 2
LCM(29290,29294) = 858021260 / 2
LCM(29290,29294) = 429010630

Least Common Multiple (LCM) of 29290 and 29294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29290 and 29294. First we will calculate the prime factors of 29290 and 29294.

Prime Factorization of 29290

Prime Factorization of 29294

Now multiplying the highest exponent prime factors to calculate the LCM of 29290 and 29294.

LCM(29290,29294) = 2¹ × 5¹ × 29¹ × 101¹ × 97¹ × 151¹
LCM(29290,29294) = 429010630