What is the Least Common Multiple of 62014 and 62024?

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 62014 and 62024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62014 and 62024, than apply into the LCM equation.

GCF(62014,62024) = 2
LCM(62014,62024) = ( 62014 × 62024) / 2
LCM(62014,62024) = 3846356336 / 2
LCM(62014,62024) = 1923178168

Least Common Multiple (LCM) of 62014 and 62024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62014 and 62024. First we will calculate the prime factors of 62014 and 62024.

Prime Factorization of 62014

Prime Factorization of 62024

Now multiplying the highest exponent prime factors to calculate the LCM of 62014 and 62024.

LCM(62014,62024) = 2³ × 101¹ × 307¹ × 7753¹
LCM(62014,62024) = 1923178168