What is the Least Common Multiple of 82888 and 82894?

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 of 82888 and 82894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82888 and 82894, than apply into the LCM equation.

GCF(82888,82894) = 2
LCM(82888,82894) = ( 82888 × 82894) / 2
LCM(82888,82894) = 6870917872 / 2
LCM(82888,82894) = 3435458936

Least Common Multiple (LCM) of 82888 and 82894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82888 and 82894. First we will calculate the prime factors of 82888 and 82894.

Prime Factorization of 82888

Prime Factorization of 82894

Now multiplying the highest exponent prime factors to calculate the LCM of 82888 and 82894.

LCM(82888,82894) = 2³ × 13¹ × 797¹ × 7¹ × 31¹ × 191¹
LCM(82888,82894) = 3435458936