What is the Least Common Multiple of 33754 and 33771?

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 33754 and 33771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33754 and 33771, than apply into the LCM equation.

GCF(33754,33771) = 1
LCM(33754,33771) = ( 33754 × 33771) / 1
LCM(33754,33771) = 1139906334 / 1
LCM(33754,33771) = 1139906334

Least Common Multiple (LCM) of 33754 and 33771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33754 and 33771. First we will calculate the prime factors of 33754 and 33771.

Prime Factorization of 33754

Prime Factorization of 33771

Now multiplying the highest exponent prime factors to calculate the LCM of 33754 and 33771.

LCM(33754,33771) = 2¹ × 7¹ × 2411¹ × 3¹ × 11257¹
LCM(33754,33771) = 1139906334