What is the Least Common Multiple of 33874 and 33890?

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 33874 and 33890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33874 and 33890, than apply into the LCM equation.

GCF(33874,33890) = 2
LCM(33874,33890) = ( 33874 × 33890) / 2
LCM(33874,33890) = 1147989860 / 2
LCM(33874,33890) = 573994930

Least Common Multiple (LCM) of 33874 and 33890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33874 and 33890. First we will calculate the prime factors of 33874 and 33890.

Prime Factorization of 33874

Prime Factorization of 33890

Now multiplying the highest exponent prime factors to calculate the LCM of 33874 and 33890.

LCM(33874,33890) = 2¹ × 16937¹ × 5¹ × 3389¹
LCM(33874,33890) = 573994930