What is the Least Common Multiple of 60574 and 60589?

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 60574 and 60589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60574 and 60589, than apply into the LCM equation.

GCF(60574,60589) = 1
LCM(60574,60589) = ( 60574 × 60589) / 1
LCM(60574,60589) = 3670118086 / 1
LCM(60574,60589) = 3670118086

Least Common Multiple (LCM) of 60574 and 60589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60574 and 60589. First we will calculate the prime factors of 60574 and 60589.

Prime Factorization of 60574

Prime Factorization of 60589

Now multiplying the highest exponent prime factors to calculate the LCM of 60574 and 60589.

LCM(60574,60589) = 2¹ × 31¹ × 977¹ × 60589¹
LCM(60574,60589) = 3670118086