GCF and LCM Calculator Logo

What is the Least Common Multiple of 64828 and 64835?

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 64828 and 64835 is 4203123380.

LCM(64828,64835) = 4203123380

LCM Calculator and
and

Least Common Multiple of 64828 and 64835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64828 and 64835, than apply into the LCM equation.

GCF(64828,64835) = 1
LCM(64828,64835) = ( 64828 × 64835) / 1
LCM(64828,64835) = 4203123380 / 1
LCM(64828,64835) = 4203123380

Least Common Multiple (LCM) of 64828 and 64835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64828 and 64835. First we will calculate the prime factors of 64828 and 64835.

Prime Factorization of 64828

Prime factors of 64828 are 2, 19, 853. Prime factorization of 64828 in exponential form is:

64828 = 22 × 191 × 8531

Prime Factorization of 64835

Prime factors of 64835 are 5, 12967. Prime factorization of 64835 in exponential form is:

64835 = 51 × 129671

Now multiplying the highest exponent prime factors to calculate the LCM of 64828 and 64835.

LCM(64828,64835) = 22 × 191 × 8531 × 51 × 129671
LCM(64828,64835) = 4203123380