What is the Least Common Multiple of 33274 and 33288?

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 33274 and 33288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33274 and 33288, than apply into the LCM equation.

GCF(33274,33288) = 2
LCM(33274,33288) = ( 33274 × 33288) / 2
LCM(33274,33288) = 1107624912 / 2
LCM(33274,33288) = 553812456

Least Common Multiple (LCM) of 33274 and 33288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33274 and 33288. First we will calculate the prime factors of 33274 and 33288.

Prime Factorization of 33274

Prime Factorization of 33288

Now multiplying the highest exponent prime factors to calculate the LCM of 33274 and 33288.

LCM(33274,33288) = 2³ × 127¹ × 131¹ × 3¹ × 19¹ × 73¹
LCM(33274,33288) = 553812456