What is the Least Common Multiple of 81550 and 81569?

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 81550 and 81569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81550 and 81569, than apply into the LCM equation.

GCF(81550,81569) = 1
LCM(81550,81569) = ( 81550 × 81569) / 1
LCM(81550,81569) = 6651951950 / 1
LCM(81550,81569) = 6651951950

Least Common Multiple (LCM) of 81550 and 81569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81550 and 81569. First we will calculate the prime factors of 81550 and 81569.

Prime Factorization of 81550

Prime Factorization of 81569

Now multiplying the highest exponent prime factors to calculate the LCM of 81550 and 81569.

LCM(81550,81569) = 2¹ × 5² × 7¹ × 233¹ × 81569¹
LCM(81550,81569) = 6651951950