What is the Least Common Multiple of 82014 and 82030?

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 82014 and 82030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82014 and 82030, than apply into the LCM equation.

GCF(82014,82030) = 2
LCM(82014,82030) = ( 82014 × 82030) / 2
LCM(82014,82030) = 6727608420 / 2
LCM(82014,82030) = 3363804210

Least Common Multiple (LCM) of 82014 and 82030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82014 and 82030. First we will calculate the prime factors of 82014 and 82030.

Prime Factorization of 82014

Prime Factorization of 82030

Now multiplying the highest exponent prime factors to calculate the LCM of 82014 and 82030.

LCM(82014,82030) = 2¹ × 3¹ × 13669¹ × 5¹ × 13¹ × 631¹
LCM(82014,82030) = 3363804210