What is the Least Common Multiple of 85580 and 85584?

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 85580 and 85584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85580 and 85584, than apply into the LCM equation.

GCF(85580,85584) = 4
LCM(85580,85584) = ( 85580 × 85584) / 4
LCM(85580,85584) = 7324278720 / 4
LCM(85580,85584) = 1831069680

Least Common Multiple (LCM) of 85580 and 85584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85580 and 85584. First we will calculate the prime factors of 85580 and 85584.

Prime Factorization of 85580

Prime Factorization of 85584

Now multiplying the highest exponent prime factors to calculate the LCM of 85580 and 85584.

LCM(85580,85584) = 2⁴ × 5¹ × 11¹ × 389¹ × 3¹ × 1783¹
LCM(85580,85584) = 1831069680