GCF and LCM Calculator Logo

What is the Least Common Multiple of 64838 and 64855?

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 64838 and 64855 is 247356970.

LCM(64838,64855) = 247356970

LCM Calculator and
and

Least Common Multiple of 64838 and 64855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64838 and 64855, than apply into the LCM equation.

GCF(64838,64855) = 17
LCM(64838,64855) = ( 64838 × 64855) / 17
LCM(64838,64855) = 4205068490 / 17
LCM(64838,64855) = 247356970

Least Common Multiple (LCM) of 64838 and 64855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64838 and 64855. First we will calculate the prime factors of 64838 and 64855.

Prime Factorization of 64838

Prime factors of 64838 are 2, 17, 1907. Prime factorization of 64838 in exponential form is:

64838 = 21 × 171 × 19071

Prime Factorization of 64855

Prime factors of 64855 are 5, 7, 17, 109. Prime factorization of 64855 in exponential form is:

64855 = 51 × 71 × 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 64838 and 64855.

LCM(64838,64855) = 21 × 171 × 19071 × 51 × 71 × 1091
LCM(64838,64855) = 247356970