What is the Least Common Multiple of 33774 and 33791?

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 33774 and 33791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33774 and 33791, than apply into the LCM equation.

GCF(33774,33791) = 1
LCM(33774,33791) = ( 33774 × 33791) / 1
LCM(33774,33791) = 1141257234 / 1
LCM(33774,33791) = 1141257234

Least Common Multiple (LCM) of 33774 and 33791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33774 and 33791. First we will calculate the prime factors of 33774 and 33791.

Prime Factorization of 33774

Prime Factorization of 33791

Now multiplying the highest exponent prime factors to calculate the LCM of 33774 and 33791.

LCM(33774,33791) = 2¹ × 3¹ × 13¹ × 433¹ × 33791¹
LCM(33774,33791) = 1141257234