What is the Least Common Multiple of 33475 and 33494?

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 33475 and 33494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33475 and 33494, than apply into the LCM equation.

GCF(33475,33494) = 1
LCM(33475,33494) = ( 33475 × 33494) / 1
LCM(33475,33494) = 1121211650 / 1
LCM(33475,33494) = 1121211650

Least Common Multiple (LCM) of 33475 and 33494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33475 and 33494. First we will calculate the prime factors of 33475 and 33494.

Prime Factorization of 33475

Prime Factorization of 33494

Now multiplying the highest exponent prime factors to calculate the LCM of 33475 and 33494.

LCM(33475,33494) = 5² × 13¹ × 103¹ × 2¹ × 16747¹
LCM(33475,33494) = 1121211650