What is the Least Common Multiple of 33074 and 33088?

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 33074 and 33088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33074 and 33088, than apply into the LCM equation.

GCF(33074,33088) = 2
LCM(33074,33088) = ( 33074 × 33088) / 2
LCM(33074,33088) = 1094352512 / 2
LCM(33074,33088) = 547176256

Least Common Multiple (LCM) of 33074 and 33088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33074 and 33088. First we will calculate the prime factors of 33074 and 33088.

Prime Factorization of 33074

Prime Factorization of 33088

Now multiplying the highest exponent prime factors to calculate the LCM of 33074 and 33088.

LCM(33074,33088) = 2⁶ × 23¹ × 719¹ × 11¹ × 47¹
LCM(33074,33088) = 547176256