What is the Least Common Multiple of 33978 and 33986?

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 33978 and 33986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33978 and 33986, than apply into the LCM equation.

GCF(33978,33986) = 2
LCM(33978,33986) = ( 33978 × 33986) / 2
LCM(33978,33986) = 1154776308 / 2
LCM(33978,33986) = 577388154

Least Common Multiple (LCM) of 33978 and 33986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33978 and 33986. First we will calculate the prime factors of 33978 and 33986.

Prime Factorization of 33978

Prime Factorization of 33986

Now multiplying the highest exponent prime factors to calculate the LCM of 33978 and 33986.

LCM(33978,33986) = 2¹ × 3¹ × 7¹ × 809¹ × 16993¹
LCM(33978,33986) = 577388154