What is the Least Common Multiple of 89578 and 89584?

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 89578 and 89584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89578 and 89584, than apply into the LCM equation.

GCF(89578,89584) = 2
LCM(89578,89584) = ( 89578 × 89584) / 2
LCM(89578,89584) = 8024755552 / 2
LCM(89578,89584) = 4012377776

Least Common Multiple (LCM) of 89578 and 89584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89578 and 89584. First we will calculate the prime factors of 89578 and 89584.

Prime Factorization of 89578

Prime Factorization of 89584

Now multiplying the highest exponent prime factors to calculate the LCM of 89578 and 89584.

LCM(89578,89584) = 2⁴ × 44789¹ × 11¹ × 509¹
LCM(89578,89584) = 4012377776