GCF and LCM Calculator Logo

What is the Least Common Multiple of 64450 and 64468?

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 64450 and 64468 is 2077481300.

LCM(64450,64468) = 2077481300

LCM Calculator and
and

Least Common Multiple of 64450 and 64468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64450 and 64468, than apply into the LCM equation.

GCF(64450,64468) = 2
LCM(64450,64468) = ( 64450 × 64468) / 2
LCM(64450,64468) = 4154962600 / 2
LCM(64450,64468) = 2077481300

Least Common Multiple (LCM) of 64450 and 64468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64450 and 64468. First we will calculate the prime factors of 64450 and 64468.

Prime Factorization of 64450

Prime factors of 64450 are 2, 5, 1289. Prime factorization of 64450 in exponential form is:

64450 = 21 × 52 × 12891

Prime Factorization of 64468

Prime factors of 64468 are 2, 71, 227. Prime factorization of 64468 in exponential form is:

64468 = 22 × 711 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 64450 and 64468.

LCM(64450,64468) = 22 × 52 × 12891 × 711 × 2271
LCM(64450,64468) = 2077481300