What is the Least Common Multiple of 87805 and 87825?

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 87805 and 87825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87805 and 87825, than apply into the LCM equation.

GCF(87805,87825) = 5
LCM(87805,87825) = ( 87805 × 87825) / 5
LCM(87805,87825) = 7711474125 / 5
LCM(87805,87825) = 1542294825

Least Common Multiple (LCM) of 87805 and 87825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87805 and 87825. First we will calculate the prime factors of 87805 and 87825.

Prime Factorization of 87805

Prime Factorization of 87825

Now multiplying the highest exponent prime factors to calculate the LCM of 87805 and 87825.

LCM(87805,87825) = 5² × 17¹ × 1033¹ × 3¹ × 1171¹
LCM(87805,87825) = 1542294825