What is the Least Common Multiple of 8125 and 8145?

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 8125 and 8145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8125 and 8145, than apply into the LCM equation.

GCF(8125,8145) = 5
LCM(8125,8145) = ( 8125 × 8145) / 5
LCM(8125,8145) = 66178125 / 5
LCM(8125,8145) = 13235625

Least Common Multiple (LCM) of 8125 and 8145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8125 and 8145. First we will calculate the prime factors of 8125 and 8145.

Prime Factorization of 8125

Prime Factorization of 8145

Now multiplying the highest exponent prime factors to calculate the LCM of 8125 and 8145.

LCM(8125,8145) = 5⁴ × 13¹ × 3² × 181¹
LCM(8125,8145) = 13235625