What is the Least Common Multiple of 38214 and 38229?

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 38229 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 38229, than apply into the LCM equation.

GCF(38214,38229) = 3
LCM(38214,38229) = ( 38214 × 38229) / 3
LCM(38214,38229) = 1460883006 / 3
LCM(38214,38229) = 486961002

Least Common Multiple (LCM) of 38214 and 38229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38214 and 38229. First we will calculate the prime factors of 38214 and 38229.

Prime Factorization of 38214

Prime Factorization of 38229

Now multiplying the highest exponent prime factors to calculate the LCM of 38214 and 38229.

LCM(38214,38229) = 2¹ × 3² × 11¹ × 193¹ × 12743¹
LCM(38214,38229) = 486961002