What is the Least Common Multiple of 81969 and 81982?

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 81969 and 81982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81969 and 81982, than apply into the LCM equation.

GCF(81969,81982) = 1
LCM(81969,81982) = ( 81969 × 81982) / 1
LCM(81969,81982) = 6719982558 / 1
LCM(81969,81982) = 6719982558

Least Common Multiple (LCM) of 81969 and 81982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81969 and 81982. First we will calculate the prime factors of 81969 and 81982.

Prime Factorization of 81969

Prime Factorization of 81982

Now multiplying the highest exponent prime factors to calculate the LCM of 81969 and 81982.

LCM(81969,81982) = 3¹ × 89¹ × 307¹ × 2¹ × 179¹ × 229¹
LCM(81969,81982) = 6719982558