What is the Least Common Multiple of 81983 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 81983 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 81983 and 81994, than apply into the LCM equation.

GCF(81983,81994) = 11
LCM(81983,81994) = ( 81983 × 81994) / 11
LCM(81983,81994) = 6722114102 / 11
LCM(81983,81994) = 611101282

Least Common Multiple (LCM) of 81983 and 81994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81983 and 81994. First we will calculate the prime factors of 81983 and 81994.

Prime Factorization of 81983

Prime Factorization of 81994

Now multiplying the highest exponent prime factors to calculate the LCM of 81983 and 81994.

LCM(81983,81994) = 11¹ × 29¹ × 257¹ × 2¹ × 3727¹
LCM(81983,81994) = 611101282