What is the Least Common Multiple of 38214 and 38220?

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 38214 and 38220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38214 and 38220, than apply into the LCM equation.

GCF(38214,38220) = 6
LCM(38214,38220) = ( 38214 × 38220) / 6
LCM(38214,38220) = 1460539080 / 6
LCM(38214,38220) = 243423180

Least Common Multiple (LCM) of 38214 and 38220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38214 and 38220. First we will calculate the prime factors of 38214 and 38220.

Prime Factorization of 38214

Prime Factorization of 38220

Now multiplying the highest exponent prime factors to calculate the LCM of 38214 and 38220.

LCM(38214,38220) = 2² × 3² × 11¹ × 193¹ × 5¹ × 7² × 13¹
LCM(38214,38220) = 243423180