What is the Least Common Multiple of 32984 and 33003?

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 32984 and 33003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32984 and 33003, than apply into the LCM equation.

GCF(32984,33003) = 19
LCM(32984,33003) = ( 32984 × 33003) / 19
LCM(32984,33003) = 1088570952 / 19
LCM(32984,33003) = 57293208

Least Common Multiple (LCM) of 32984 and 33003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32984 and 33003. First we will calculate the prime factors of 32984 and 33003.

Prime Factorization of 32984

Prime Factorization of 33003

Now multiplying the highest exponent prime factors to calculate the LCM of 32984 and 33003.

LCM(32984,33003) = 2³ × 7¹ × 19¹ × 31¹ × 3² × 193¹
LCM(32984,33003) = 57293208