GCF and LCM Calculator Logo

What is the Least Common Multiple of 66320 and 66329?

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 (LCM) of 66320 and 66329 is 4398939280.

LCM(66320,66329) = 4398939280

LCM Calculator and
and

Least Common Multiple of 66320 and 66329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66320 and 66329, than apply into the LCM equation.

GCF(66320,66329) = 1
LCM(66320,66329) = ( 66320 × 66329) / 1
LCM(66320,66329) = 4398939280 / 1
LCM(66320,66329) = 4398939280

Least Common Multiple (LCM) of 66320 and 66329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66320 and 66329. First we will calculate the prime factors of 66320 and 66329.

Prime Factorization of 66320

Prime factors of 66320 are 2, 5, 829. Prime factorization of 66320 in exponential form is:

66320 = 24 × 51 × 8291

Prime Factorization of 66329

Prime factors of 66329 are 19, 3491. Prime factorization of 66329 in exponential form is:

66329 = 191 × 34911

Now multiplying the highest exponent prime factors to calculate the LCM of 66320 and 66329.

LCM(66320,66329) = 24 × 51 × 8291 × 191 × 34911
LCM(66320,66329) = 4398939280