What is the Least Common Multiple of 26214 and 26234?

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 26214 and 26234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26214 and 26234, than apply into the LCM equation.

GCF(26214,26234) = 2
LCM(26214,26234) = ( 26214 × 26234) / 2
LCM(26214,26234) = 687698076 / 2
LCM(26214,26234) = 343849038

Least Common Multiple (LCM) of 26214 and 26234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26214 and 26234. First we will calculate the prime factors of 26214 and 26234.

Prime Factorization of 26214

Prime Factorization of 26234

Now multiplying the highest exponent prime factors to calculate the LCM of 26214 and 26234.

LCM(26214,26234) = 2¹ × 3¹ × 17¹ × 257¹ × 13¹ × 1009¹
LCM(26214,26234) = 343849038