What is the Least Common Multiple of 65214 and 65226?

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 65226 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 65226, than apply into the LCM equation.

GCF(65214,65226) = 6
LCM(65214,65226) = ( 65214 × 65226) / 6
LCM(65214,65226) = 4253648364 / 6
LCM(65214,65226) = 708941394

Least Common Multiple (LCM) of 65214 and 65226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65214 and 65226. First we will calculate the prime factors of 65214 and 65226.

Prime Factorization of 65214

Prime Factorization of 65226

Now multiplying the highest exponent prime factors to calculate the LCM of 65214 and 65226.

LCM(65214,65226) = 2¹ × 3² × 3623¹ × 7¹ × 1553¹
LCM(65214,65226) = 708941394