What is the Least Common Multiple of 26229 and 26248?

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 26229 and 26248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26229 and 26248, than apply into the LCM equation.

GCF(26229,26248) = 1
LCM(26229,26248) = ( 26229 × 26248) / 1
LCM(26229,26248) = 688458792 / 1
LCM(26229,26248) = 688458792

Least Common Multiple (LCM) of 26229 and 26248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26229 and 26248. First we will calculate the prime factors of 26229 and 26248.

Prime Factorization of 26229

Prime Factorization of 26248

Now multiplying the highest exponent prime factors to calculate the LCM of 26229 and 26248.

LCM(26229,26248) = 3¹ × 7¹ × 1249¹ × 2³ × 17¹ × 193¹
LCM(26229,26248) = 688458792