What is the Least Common Multiple of 33678 and 33691?

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 33678 and 33691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33678 and 33691, than apply into the LCM equation.

GCF(33678,33691) = 1
LCM(33678,33691) = ( 33678 × 33691) / 1
LCM(33678,33691) = 1134645498 / 1
LCM(33678,33691) = 1134645498

Least Common Multiple (LCM) of 33678 and 33691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33678 and 33691. First we will calculate the prime factors of 33678 and 33691.

Prime Factorization of 33678

Prime Factorization of 33691

Now multiplying the highest exponent prime factors to calculate the LCM of 33678 and 33691.

LCM(33678,33691) = 2¹ × 3² × 1871¹ × 7¹ × 4813¹
LCM(33678,33691) = 1134645498