What is the Least Common Multiple of 26467 and 26486?

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 26467 and 26486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26467 and 26486, than apply into the LCM equation.

GCF(26467,26486) = 19
LCM(26467,26486) = ( 26467 × 26486) / 19
LCM(26467,26486) = 701004962 / 19
LCM(26467,26486) = 36894998

Least Common Multiple (LCM) of 26467 and 26486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26467 and 26486. First we will calculate the prime factors of 26467 and 26486.

Prime Factorization of 26467

Prime Factorization of 26486

Now multiplying the highest exponent prime factors to calculate the LCM of 26467 and 26486.

LCM(26467,26486) = 7¹ × 19¹ × 199¹ × 2¹ × 17¹ × 41¹
LCM(26467,26486) = 36894998