What is the Least Common Multiple of 89584 and 89588?

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 89584 and 89588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89584 and 89588, than apply into the LCM equation.

GCF(89584,89588) = 4
LCM(89584,89588) = ( 89584 × 89588) / 4
LCM(89584,89588) = 8025651392 / 4
LCM(89584,89588) = 2006412848

Least Common Multiple (LCM) of 89584 and 89588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89584 and 89588. First we will calculate the prime factors of 89584 and 89588.

Prime Factorization of 89584

Prime Factorization of 89588

Now multiplying the highest exponent prime factors to calculate the LCM of 89584 and 89588.

LCM(89584,89588) = 2⁴ × 11¹ × 509¹ × 22397¹
LCM(89584,89588) = 2006412848