GCF and LCM Calculator Logo

What is the Least Common Multiple of 68824 and 68836?

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 68824 and 68836 is 1184392216.

LCM(68824,68836) = 1184392216

LCM Calculator and
and

Least Common Multiple of 68824 and 68836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68824 and 68836, than apply into the LCM equation.

GCF(68824,68836) = 4
LCM(68824,68836) = ( 68824 × 68836) / 4
LCM(68824,68836) = 4737568864 / 4
LCM(68824,68836) = 1184392216

Least Common Multiple (LCM) of 68824 and 68836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68824 and 68836. First we will calculate the prime factors of 68824 and 68836.

Prime Factorization of 68824

Prime factors of 68824 are 2, 7, 1229. Prime factorization of 68824 in exponential form is:

68824 = 23 × 71 × 12291

Prime Factorization of 68836

Prime factors of 68836 are 2, 17209. Prime factorization of 68836 in exponential form is:

68836 = 22 × 172091

Now multiplying the highest exponent prime factors to calculate the LCM of 68824 and 68836.

LCM(68824,68836) = 23 × 71 × 12291 × 172091
LCM(68824,68836) = 1184392216