What is the Least Common Multiple of 33377 and 33396?

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 33377 and 33396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33377 and 33396, than apply into the LCM equation.

GCF(33377,33396) = 1
LCM(33377,33396) = ( 33377 × 33396) / 1
LCM(33377,33396) = 1114658292 / 1
LCM(33377,33396) = 1114658292

Least Common Multiple (LCM) of 33377 and 33396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33377 and 33396. First we will calculate the prime factors of 33377 and 33396.

Prime Factorization of 33377

Prime Factorization of 33396

Now multiplying the highest exponent prime factors to calculate the LCM of 33377 and 33396.

LCM(33377,33396) = 33377¹ × 2² × 3¹ × 11² × 23¹
LCM(33377,33396) = 1114658292