What is the Least Common Multiple of 33890 and 33895?

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 33890 and 33895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33890 and 33895, than apply into the LCM equation.

GCF(33890,33895) = 5
LCM(33890,33895) = ( 33890 × 33895) / 5
LCM(33890,33895) = 1148701550 / 5
LCM(33890,33895) = 229740310

Least Common Multiple (LCM) of 33890 and 33895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33890 and 33895. First we will calculate the prime factors of 33890 and 33895.

Prime Factorization of 33890

Prime Factorization of 33895

Now multiplying the highest exponent prime factors to calculate the LCM of 33890 and 33895.

LCM(33890,33895) = 2¹ × 5¹ × 3389¹ × 6779¹
LCM(33890,33895) = 229740310