What is the Least Common Multiple of 33930 and 33940?

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 33930 and 33940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33930 and 33940, than apply into the LCM equation.

GCF(33930,33940) = 10
LCM(33930,33940) = ( 33930 × 33940) / 10
LCM(33930,33940) = 1151584200 / 10
LCM(33930,33940) = 115158420

Least Common Multiple (LCM) of 33930 and 33940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33930 and 33940. First we will calculate the prime factors of 33930 and 33940.

Prime Factorization of 33930

Prime Factorization of 33940

Now multiplying the highest exponent prime factors to calculate the LCM of 33930 and 33940.

LCM(33930,33940) = 2² × 3² × 5¹ × 13¹ × 29¹ × 1697¹
LCM(33930,33940) = 115158420