What is the Least Common Multiple of 33370 and 33386?

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 33370 and 33386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33370 and 33386, than apply into the LCM equation.

GCF(33370,33386) = 2
LCM(33370,33386) = ( 33370 × 33386) / 2
LCM(33370,33386) = 1114090820 / 2
LCM(33370,33386) = 557045410

Least Common Multiple (LCM) of 33370 and 33386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33370 and 33386. First we will calculate the prime factors of 33370 and 33386.

Prime Factorization of 33370

Prime Factorization of 33386

Now multiplying the highest exponent prime factors to calculate the LCM of 33370 and 33386.

LCM(33370,33386) = 2¹ × 5¹ × 47¹ × 71¹ × 16693¹
LCM(33370,33386) = 557045410