What is the Least Common Multiple of 60871 and 60890?

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 60871 and 60890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60871 and 60890, than apply into the LCM equation.

GCF(60871,60890) = 1
LCM(60871,60890) = ( 60871 × 60890) / 1
LCM(60871,60890) = 3706435190 / 1
LCM(60871,60890) = 3706435190

Least Common Multiple (LCM) of 60871 and 60890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60871 and 60890. First we will calculate the prime factors of 60871 and 60890.

Prime Factorization of 60871

Prime Factorization of 60890

Now multiplying the highest exponent prime factors to calculate the LCM of 60871 and 60890.

LCM(60871,60890) = 29¹ × 2099¹ × 2¹ × 5¹ × 6089¹
LCM(60871,60890) = 3706435190