What is the Least Common Multiple of 60509 and 60513?

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 60509 and 60513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60509 and 60513, than apply into the LCM equation.

GCF(60509,60513) = 1
LCM(60509,60513) = ( 60509 × 60513) / 1
LCM(60509,60513) = 3661581117 / 1
LCM(60509,60513) = 3661581117

Least Common Multiple (LCM) of 60509 and 60513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60509 and 60513. First we will calculate the prime factors of 60509 and 60513.

Prime Factorization of 60509

Prime Factorization of 60513

Now multiplying the highest exponent prime factors to calculate the LCM of 60509 and 60513.

LCM(60509,60513) = 60509¹ × 3¹ × 23¹ × 877¹
LCM(60509,60513) = 3661581117