What is the Least Common Multiple of 29200 and 29214?

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 29200 and 29214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29200 and 29214, than apply into the LCM equation.

GCF(29200,29214) = 2
LCM(29200,29214) = ( 29200 × 29214) / 2
LCM(29200,29214) = 853048800 / 2
LCM(29200,29214) = 426524400

Least Common Multiple (LCM) of 29200 and 29214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29200 and 29214. First we will calculate the prime factors of 29200 and 29214.

Prime Factorization of 29200

Prime Factorization of 29214

Now multiplying the highest exponent prime factors to calculate the LCM of 29200 and 29214.

LCM(29200,29214) = 2⁴ × 5² × 73¹ × 3³ × 541¹
LCM(29200,29214) = 426524400