What is the Least Common Multiple of 85580 and 85600?

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 85600 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 85600, than apply into the LCM equation.

GCF(85580,85600) = 20
LCM(85580,85600) = ( 85580 × 85600) / 20
LCM(85580,85600) = 7325648000 / 20
LCM(85580,85600) = 366282400

Least Common Multiple (LCM) of 85580 and 85600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85580 and 85600. First we will calculate the prime factors of 85580 and 85600.

Prime Factorization of 85580

Prime Factorization of 85600

Now multiplying the highest exponent prime factors to calculate the LCM of 85580 and 85600.

LCM(85580,85600) = 2⁵ × 5² × 11¹ × 389¹ × 107¹
LCM(85580,85600) = 366282400