GCF and LCM Calculator Logo

What is the Least Common Multiple of 64212 and 64219?

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 64212 and 64219 is 4123630428.

LCM(64212,64219) = 4123630428

LCM Calculator and
and

Least Common Multiple of 64212 and 64219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64212 and 64219, than apply into the LCM equation.

GCF(64212,64219) = 1
LCM(64212,64219) = ( 64212 × 64219) / 1
LCM(64212,64219) = 4123630428 / 1
LCM(64212,64219) = 4123630428

Least Common Multiple (LCM) of 64212 and 64219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64212 and 64219. First we will calculate the prime factors of 64212 and 64219.

Prime Factorization of 64212

Prime factors of 64212 are 2, 3, 5351. Prime factorization of 64212 in exponential form is:

64212 = 22 × 31 × 53511

Prime Factorization of 64219

Prime factors of 64219 are 149, 431. Prime factorization of 64219 in exponential form is:

64219 = 1491 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 64212 and 64219.

LCM(64212,64219) = 22 × 31 × 53511 × 1491 × 4311
LCM(64212,64219) = 4123630428