What is the Least Common Multiple of 60509 and 60514?

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 60514 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 60514, than apply into the LCM equation.

GCF(60509,60514) = 1
LCM(60509,60514) = ( 60509 × 60514) / 1
LCM(60509,60514) = 3661641626 / 1
LCM(60509,60514) = 3661641626

Least Common Multiple (LCM) of 60509 and 60514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60509 and 60514. First we will calculate the prime factors of 60509 and 60514.

Prime Factorization of 60509

Prime Factorization of 60514

Now multiplying the highest exponent prime factors to calculate the LCM of 60509 and 60514.

LCM(60509,60514) = 60509¹ × 2¹ × 79¹ × 383¹
LCM(60509,60514) = 3661641626