What is the Least Common Multiple of 33917 and 33930?

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 33917 and 33930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33917 and 33930, than apply into the LCM equation.

GCF(33917,33930) = 13
LCM(33917,33930) = ( 33917 × 33930) / 13
LCM(33917,33930) = 1150803810 / 13
LCM(33917,33930) = 88523370

Least Common Multiple (LCM) of 33917 and 33930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33917 and 33930. First we will calculate the prime factors of 33917 and 33930.

Prime Factorization of 33917

Prime Factorization of 33930

Now multiplying the highest exponent prime factors to calculate the LCM of 33917 and 33930.

LCM(33917,33930) = 13¹ × 2609¹ × 2¹ × 3² × 5¹ × 29¹
LCM(33917,33930) = 88523370