GCF and LCM Calculator Logo

What is the Least Common Multiple of 64309 and 64322?

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 64309 and 64322 is 4136483498.

LCM(64309,64322) = 4136483498

LCM Calculator and
and

Least Common Multiple of 64309 and 64322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64309 and 64322, than apply into the LCM equation.

GCF(64309,64322) = 1
LCM(64309,64322) = ( 64309 × 64322) / 1
LCM(64309,64322) = 4136483498 / 1
LCM(64309,64322) = 4136483498

Least Common Multiple (LCM) of 64309 and 64322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64309 and 64322. First we will calculate the prime factors of 64309 and 64322.

Prime Factorization of 64309

Prime factors of 64309 are 7, 9187. Prime factorization of 64309 in exponential form is:

64309 = 71 × 91871

Prime Factorization of 64322

Prime factors of 64322 are 2, 29, 1109. Prime factorization of 64322 in exponential form is:

64322 = 21 × 291 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 64309 and 64322.

LCM(64309,64322) = 71 × 91871 × 21 × 291 × 11091
LCM(64309,64322) = 4136483498