What is the Least Common Multiple of 65214 and 65229?

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 65214 and 65229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65214 and 65229, than apply into the LCM equation.

GCF(65214,65229) = 3
LCM(65214,65229) = ( 65214 × 65229) / 3
LCM(65214,65229) = 4253844006 / 3
LCM(65214,65229) = 1417948002

Least Common Multiple (LCM) of 65214 and 65229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65214 and 65229. First we will calculate the prime factors of 65214 and 65229.

Prime Factorization of 65214

Prime Factorization of 65229

Now multiplying the highest exponent prime factors to calculate the LCM of 65214 and 65229.

LCM(65214,65229) = 2¹ × 3² × 3623¹ × 17¹ × 1279¹
LCM(65214,65229) = 1417948002