What is the Least Common Multiple of 2072 and 2086?

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 2072 and 2086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2072 and 2086, than apply into the LCM equation.

GCF(2072,2086) = 14
LCM(2072,2086) = ( 2072 × 2086) / 14
LCM(2072,2086) = 4322192 / 14
LCM(2072,2086) = 308728

Least Common Multiple (LCM) of 2072 and 2086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2072 and 2086. First we will calculate the prime factors of 2072 and 2086.

Prime Factorization of 2072

Prime Factorization of 2086

Now multiplying the highest exponent prime factors to calculate the LCM of 2072 and 2086.

LCM(2072,2086) = 2³ × 7¹ × 37¹ × 149¹
LCM(2072,2086) = 308728