What is the Least Common Multiple of 82544 and 82558?

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 82544 and 82558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82544 and 82558, than apply into the LCM equation.

GCF(82544,82558) = 14
LCM(82544,82558) = ( 82544 × 82558) / 14
LCM(82544,82558) = 6814667552 / 14
LCM(82544,82558) = 486761968

Least Common Multiple (LCM) of 82544 and 82558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82544 and 82558. First we will calculate the prime factors of 82544 and 82558.

Prime Factorization of 82544

Prime Factorization of 82558

Now multiplying the highest exponent prime factors to calculate the LCM of 82544 and 82558.

LCM(82544,82558) = 2⁴ × 7¹ × 11¹ × 67¹ × 5897¹
LCM(82544,82558) = 486761968