GCF and LCM Calculator Logo

What is the Least Common Multiple of 66849 and 66862?

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 66849 and 66862 is 4469657838.

LCM(66849,66862) = 4469657838

LCM Calculator and
and

Least Common Multiple of 66849 and 66862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66849 and 66862, than apply into the LCM equation.

GCF(66849,66862) = 1
LCM(66849,66862) = ( 66849 × 66862) / 1
LCM(66849,66862) = 4469657838 / 1
LCM(66849,66862) = 4469657838

Least Common Multiple (LCM) of 66849 and 66862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66849 and 66862. First we will calculate the prime factors of 66849 and 66862.

Prime Factorization of 66849

Prime factors of 66849 are 3, 22283. Prime factorization of 66849 in exponential form is:

66849 = 31 × 222831

Prime Factorization of 66862

Prime factors of 66862 are 2, 101, 331. Prime factorization of 66862 in exponential form is:

66862 = 21 × 1011 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 66849 and 66862.

LCM(66849,66862) = 31 × 222831 × 21 × 1011 × 3311
LCM(66849,66862) = 4469657838