What is the Least Common Multiple of 33900 and 33910?

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 33900 and 33910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33900 and 33910, than apply into the LCM equation.

GCF(33900,33910) = 10
LCM(33900,33910) = ( 33900 × 33910) / 10
LCM(33900,33910) = 1149549000 / 10
LCM(33900,33910) = 114954900

Least Common Multiple (LCM) of 33900 and 33910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33900 and 33910. First we will calculate the prime factors of 33900 and 33910.

Prime Factorization of 33900

Prime Factorization of 33910

Now multiplying the highest exponent prime factors to calculate the LCM of 33900 and 33910.

LCM(33900,33910) = 2² × 3¹ × 5² × 113¹ × 3391¹
LCM(33900,33910) = 114954900