What is the Least Common Multiple of 81529 and 81548?

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 81529 and 81548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81529 and 81548, than apply into the LCM equation.

GCF(81529,81548) = 19
LCM(81529,81548) = ( 81529 × 81548) / 19
LCM(81529,81548) = 6648526892 / 19
LCM(81529,81548) = 349922468

Least Common Multiple (LCM) of 81529 and 81548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81529 and 81548. First we will calculate the prime factors of 81529 and 81548.

Prime Factorization of 81529

Prime Factorization of 81548

Now multiplying the highest exponent prime factors to calculate the LCM of 81529 and 81548.

LCM(81529,81548) = 7¹ × 19¹ × 613¹ × 2² × 29¹ × 37¹
LCM(81529,81548) = 349922468