What is the Least Common Multiple of 87835 and 87845?

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 87835 and 87845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87835 and 87845, than apply into the LCM equation.

GCF(87835,87845) = 5
LCM(87835,87845) = ( 87835 × 87845) / 5
LCM(87835,87845) = 7715865575 / 5
LCM(87835,87845) = 1543173115

Least Common Multiple (LCM) of 87835 and 87845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87835 and 87845. First we will calculate the prime factors of 87835 and 87845.

Prime Factorization of 87835

Prime Factorization of 87845

Now multiplying the highest exponent prime factors to calculate the LCM of 87835 and 87845.

LCM(87835,87845) = 5¹ × 11¹ × 1597¹ × 17569¹
LCM(87835,87845) = 1543173115