What is the Least Common Multiple of 33715 and 33735?

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 33715 and 33735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33715 and 33735, than apply into the LCM equation.

GCF(33715,33735) = 5
LCM(33715,33735) = ( 33715 × 33735) / 5
LCM(33715,33735) = 1137375525 / 5
LCM(33715,33735) = 227475105

Least Common Multiple (LCM) of 33715 and 33735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33715 and 33735. First we will calculate the prime factors of 33715 and 33735.

Prime Factorization of 33715

Prime Factorization of 33735

Now multiplying the highest exponent prime factors to calculate the LCM of 33715 and 33735.

LCM(33715,33735) = 5¹ × 11¹ × 613¹ × 3¹ × 13¹ × 173¹
LCM(33715,33735) = 227475105