What is the Least Common Multiple of 60000 and 60014?

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 60000 and 60014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60000 and 60014, than apply into the LCM equation.

GCF(60000,60014) = 2
LCM(60000,60014) = ( 60000 × 60014) / 2
LCM(60000,60014) = 3600840000 / 2
LCM(60000,60014) = 1800420000

Least Common Multiple (LCM) of 60000 and 60014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60000 and 60014. First we will calculate the prime factors of 60000 and 60014.

Prime Factorization of 60000

Prime Factorization of 60014

Now multiplying the highest exponent prime factors to calculate the LCM of 60000 and 60014.

LCM(60000,60014) = 2⁵ × 3¹ × 5⁴ × 37¹ × 811¹
LCM(60000,60014) = 1800420000