What is the Least Common Multiple of 33908 and 33914?

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 33908 and 33914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33908 and 33914, than apply into the LCM equation.

GCF(33908,33914) = 2
LCM(33908,33914) = ( 33908 × 33914) / 2
LCM(33908,33914) = 1149955912 / 2
LCM(33908,33914) = 574977956

Least Common Multiple (LCM) of 33908 and 33914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33908 and 33914. First we will calculate the prime factors of 33908 and 33914.

Prime Factorization of 33908

Prime Factorization of 33914

Now multiplying the highest exponent prime factors to calculate the LCM of 33908 and 33914.

LCM(33908,33914) = 2² × 7² × 173¹ × 31¹ × 547¹
LCM(33908,33914) = 574977956