What is the Least Common Multiple of 29300 and 29314?

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 29300 and 29314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29300 and 29314, than apply into the LCM equation.

GCF(29300,29314) = 2
LCM(29300,29314) = ( 29300 × 29314) / 2
LCM(29300,29314) = 858900200 / 2
LCM(29300,29314) = 429450100

Least Common Multiple (LCM) of 29300 and 29314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29300 and 29314. First we will calculate the prime factors of 29300 and 29314.

Prime Factorization of 29300

Prime Factorization of 29314

Now multiplying the highest exponent prime factors to calculate the LCM of 29300 and 29314.

LCM(29300,29314) = 2² × 5² × 293¹ × 14657¹
LCM(29300,29314) = 429450100