What is the Least Common Multiple of 4014 and 4030?

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 4014 and 4030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4014 and 4030, than apply into the LCM equation.

GCF(4014,4030) = 2
LCM(4014,4030) = ( 4014 × 4030) / 2
LCM(4014,4030) = 16176420 / 2
LCM(4014,4030) = 8088210

Least Common Multiple (LCM) of 4014 and 4030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4014 and 4030. First we will calculate the prime factors of 4014 and 4030.

Prime Factorization of 4014

Prime Factorization of 4030

Now multiplying the highest exponent prime factors to calculate the LCM of 4014 and 4030.

LCM(4014,4030) = 2¹ × 3² × 223¹ × 5¹ × 13¹ × 31¹
LCM(4014,4030) = 8088210