What is the Least Common Multiple of 82441 and 82453?

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 82441 and 82453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82441 and 82453, than apply into the LCM equation.

GCF(82441,82453) = 1
LCM(82441,82453) = ( 82441 × 82453) / 1
LCM(82441,82453) = 6797507773 / 1
LCM(82441,82453) = 6797507773

Least Common Multiple (LCM) of 82441 and 82453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82441 and 82453. First we will calculate the prime factors of 82441 and 82453.

Prime Factorization of 82441

Prime Factorization of 82453

Now multiplying the highest exponent prime factors to calculate the LCM of 82441 and 82453.

LCM(82441,82453) = 19¹ × 4339¹ × 7¹ × 11779¹
LCM(82441,82453) = 6797507773