GCF and LCM Calculator Logo

What is the Least Common Multiple of 814 and 824?

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 814 and 824 is 335368.

LCM(814,824) = 335368

LCM Calculator and
and

Least Common Multiple of 814 and 824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 814 and 824, than apply into the LCM equation.

GCF(814,824) = 2
LCM(814,824) = ( 814 × 824) / 2
LCM(814,824) = 670736 / 2
LCM(814,824) = 335368

Least Common Multiple (LCM) of 814 and 824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 814 and 824. First we will calculate the prime factors of 814 and 824.

Prime Factorization of 814

Prime factors of 814 are 2, 11, 37. Prime factorization of 814 in exponential form is:

814 = 21 × 111 × 371

Prime Factorization of 824

Prime factors of 824 are 2, 103. Prime factorization of 824 in exponential form is:

824 = 23 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 814 and 824.

LCM(814,824) = 23 × 111 × 371 × 1031
LCM(814,824) = 335368