What is the Least Common Multiple of 81469 and 81489?

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 81469 and 81489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81469 and 81489, than apply into the LCM equation.

GCF(81469,81489) = 1
LCM(81469,81489) = ( 81469 × 81489) / 1
LCM(81469,81489) = 6638827341 / 1
LCM(81469,81489) = 6638827341

Least Common Multiple (LCM) of 81469 and 81489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81469 and 81489. First we will calculate the prime factors of 81469 and 81489.

Prime Factorization of 81469

Prime Factorization of 81489

Now multiplying the highest exponent prime factors to calculate the LCM of 81469 and 81489.

LCM(81469,81489) = 257¹ × 317¹ × 3¹ × 23¹ × 1181¹
LCM(81469,81489) = 6638827341