GCF and LCM Calculator Logo

What is the Least Common Multiple of 67814 and 67826?

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 67814 and 67826 is 2299776182.

LCM(67814,67826) = 2299776182

LCM Calculator and
and

Least Common Multiple of 67814 and 67826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67814 and 67826, than apply into the LCM equation.

GCF(67814,67826) = 2
LCM(67814,67826) = ( 67814 × 67826) / 2
LCM(67814,67826) = 4599552364 / 2
LCM(67814,67826) = 2299776182

Least Common Multiple (LCM) of 67814 and 67826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67814 and 67826. First we will calculate the prime factors of 67814 and 67826.

Prime Factorization of 67814

Prime factors of 67814 are 2, 41, 827. Prime factorization of 67814 in exponential form is:

67814 = 21 × 411 × 8271

Prime Factorization of 67826

Prime factors of 67826 are 2, 11, 3083. Prime factorization of 67826 in exponential form is:

67826 = 21 × 111 × 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 67814 and 67826.

LCM(67814,67826) = 21 × 411 × 8271 × 111 × 30831
LCM(67814,67826) = 2299776182