What is the Least Common Multiple of 8125 and 8138?

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 8138 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 8138, than apply into the LCM equation.

GCF(8125,8138) = 13
LCM(8125,8138) = ( 8125 × 8138) / 13
LCM(8125,8138) = 66121250 / 13
LCM(8125,8138) = 5086250

Least Common Multiple (LCM) of 8125 and 8138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8125 and 8138. First we will calculate the prime factors of 8125 and 8138.

Prime Factorization of 8125

Prime Factorization of 8138

Now multiplying the highest exponent prime factors to calculate the LCM of 8125 and 8138.

LCM(8125,8138) = 5⁴ × 13¹ × 2¹ × 313¹
LCM(8125,8138) = 5086250