What is the Least Common Multiple of 62000 and 62014?

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 62000 and 62014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62000 and 62014, than apply into the LCM equation.

GCF(62000,62014) = 2
LCM(62000,62014) = ( 62000 × 62014) / 2
LCM(62000,62014) = 3844868000 / 2
LCM(62000,62014) = 1922434000

Least Common Multiple (LCM) of 62000 and 62014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62000 and 62014. First we will calculate the prime factors of 62000 and 62014.

Prime Factorization of 62000

Prime Factorization of 62014

Now multiplying the highest exponent prime factors to calculate the LCM of 62000 and 62014.

LCM(62000,62014) = 2⁴ × 5³ × 31¹ × 101¹ × 307¹
LCM(62000,62014) = 1922434000