What is the Least Common Multiple of 81921 and 81936?

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 81921 and 81936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81921 and 81936, than apply into the LCM equation.

GCF(81921,81936) = 3
LCM(81921,81936) = ( 81921 × 81936) / 3
LCM(81921,81936) = 6712279056 / 3
LCM(81921,81936) = 2237426352

Least Common Multiple (LCM) of 81921 and 81936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81921 and 81936. First we will calculate the prime factors of 81921 and 81936.

Prime Factorization of 81921

Prime Factorization of 81936

Now multiplying the highest exponent prime factors to calculate the LCM of 81921 and 81936.

LCM(81921,81936) = 3² × 7¹ × 47¹ × 83¹ × 2⁴ × 569¹
LCM(81921,81936) = 2237426352