What is the Least Common Multiple of 81986 and 81994?

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 81986 and 81994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81986 and 81994, than apply into the LCM equation.

GCF(81986,81994) = 2
LCM(81986,81994) = ( 81986 × 81994) / 2
LCM(81986,81994) = 6722360084 / 2
LCM(81986,81994) = 3361180042

Least Common Multiple (LCM) of 81986 and 81994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81986 and 81994. First we will calculate the prime factors of 81986 and 81994.

Prime Factorization of 81986

Prime Factorization of 81994

Now multiplying the highest exponent prime factors to calculate the LCM of 81986 and 81994.

LCM(81986,81994) = 2¹ × 40993¹ × 11¹ × 3727¹
LCM(81986,81994) = 3361180042