What is the Least Common Multiple of 81584 and 81588?

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 81584 and 81588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81584 and 81588, than apply into the LCM equation.

GCF(81584,81588) = 4
LCM(81584,81588) = ( 81584 × 81588) / 4
LCM(81584,81588) = 6656275392 / 4
LCM(81584,81588) = 1664068848

Least Common Multiple (LCM) of 81584 and 81588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81584 and 81588. First we will calculate the prime factors of 81584 and 81588.

Prime Factorization of 81584

Prime Factorization of 81588

Now multiplying the highest exponent prime factors to calculate the LCM of 81584 and 81588.

LCM(81584,81588) = 2⁴ × 5099¹ × 3¹ × 13¹ × 523¹
LCM(81584,81588) = 1664068848