What is the Least Common Multiple of 29214 and 29220?

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 29220 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 29220, than apply into the LCM equation.

GCF(29214,29220) = 6
LCM(29214,29220) = ( 29214 × 29220) / 6
LCM(29214,29220) = 853633080 / 6
LCM(29214,29220) = 142272180

Least Common Multiple (LCM) of 29214 and 29220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29214 and 29220. First we will calculate the prime factors of 29214 and 29220.

Prime Factorization of 29214

Prime Factorization of 29220

Now multiplying the highest exponent prime factors to calculate the LCM of 29214 and 29220.

LCM(29214,29220) = 2² × 3³ × 541¹ × 5¹ × 487¹
LCM(29214,29220) = 142272180