What is the Least Common Multiple of 6214 and 6229?

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 6214 and 6229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6214 and 6229, than apply into the LCM equation.

GCF(6214,6229) = 1
LCM(6214,6229) = ( 6214 × 6229) / 1
LCM(6214,6229) = 38707006 / 1
LCM(6214,6229) = 38707006

Least Common Multiple (LCM) of 6214 and 6229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6214 and 6229. First we will calculate the prime factors of 6214 and 6229.

Prime Factorization of 6214

Prime Factorization of 6229

Now multiplying the highest exponent prime factors to calculate the LCM of 6214 and 6229.

LCM(6214,6229) = 2¹ × 13¹ × 239¹ × 6229¹
LCM(6214,6229) = 38707006