What is the Least Common Multiple of 30855 and 30865?

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 30855 and 30865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30855 and 30865, than apply into the LCM equation.

GCF(30855,30865) = 5
LCM(30855,30865) = ( 30855 × 30865) / 5
LCM(30855,30865) = 952339575 / 5
LCM(30855,30865) = 190467915

Least Common Multiple (LCM) of 30855 and 30865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30855 and 30865. First we will calculate the prime factors of 30855 and 30865.

Prime Factorization of 30855

Prime Factorization of 30865

Now multiplying the highest exponent prime factors to calculate the LCM of 30855 and 30865.

LCM(30855,30865) = 3¹ × 5¹ × 11² × 17¹ × 6173¹
LCM(30855,30865) = 190467915