What is the Least Common Multiple of 26850 and 26865?

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 26850 and 26865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26850 and 26865, than apply into the LCM equation.

GCF(26850,26865) = 15
LCM(26850,26865) = ( 26850 × 26865) / 15
LCM(26850,26865) = 721325250 / 15
LCM(26850,26865) = 48088350

Least Common Multiple (LCM) of 26850 and 26865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26850 and 26865. First we will calculate the prime factors of 26850 and 26865.

Prime Factorization of 26850

Prime Factorization of 26865

Now multiplying the highest exponent prime factors to calculate the LCM of 26850 and 26865.

LCM(26850,26865) = 2¹ × 3³ × 5² × 179¹ × 199¹
LCM(26850,26865) = 48088350