What is the Least Common Multiple of 29214 and 29224?

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 29214 and 29224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29214 and 29224, than apply into the LCM equation.

GCF(29214,29224) = 2
LCM(29214,29224) = ( 29214 × 29224) / 2
LCM(29214,29224) = 853749936 / 2
LCM(29214,29224) = 426874968

Least Common Multiple (LCM) of 29214 and 29224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29214 and 29224. First we will calculate the prime factors of 29214 and 29224.

Prime Factorization of 29214

Prime Factorization of 29224

Now multiplying the highest exponent prime factors to calculate the LCM of 29214 and 29224.

LCM(29214,29224) = 2³ × 3³ × 541¹ × 13¹ × 281¹
LCM(29214,29224) = 426874968