What is the Least Common Multiple of 82876 and 82890?

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 82876 and 82890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82876 and 82890, than apply into the LCM equation.

GCF(82876,82890) = 2
LCM(82876,82890) = ( 82876 × 82890) / 2
LCM(82876,82890) = 6869591640 / 2
LCM(82876,82890) = 3434795820

Least Common Multiple (LCM) of 82876 and 82890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82876 and 82890. First we will calculate the prime factors of 82876 and 82890.

Prime Factorization of 82876

Prime Factorization of 82890

Now multiplying the highest exponent prime factors to calculate the LCM of 82876 and 82890.

LCM(82876,82890) = 2² × 20719¹ × 3³ × 5¹ × 307¹
LCM(82876,82890) = 3434795820