What is the Least Common Multiple of 83584 and 83588?

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 83584 and 83588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83584 and 83588, than apply into the LCM equation.

GCF(83584,83588) = 4
LCM(83584,83588) = ( 83584 × 83588) / 4
LCM(83584,83588) = 6986619392 / 4
LCM(83584,83588) = 1746654848

Least Common Multiple (LCM) of 83584 and 83588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83584 and 83588. First we will calculate the prime factors of 83584 and 83588.

Prime Factorization of 83584

Prime Factorization of 83588

Now multiplying the highest exponent prime factors to calculate the LCM of 83584 and 83588.

LCM(83584,83588) = 2⁷ × 653¹ × 20897¹
LCM(83584,83588) = 1746654848