What is the Least Common Multiple of 2072 and 2083?

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 2083 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 2083, than apply into the LCM equation.

GCF(2072,2083) = 1
LCM(2072,2083) = ( 2072 × 2083) / 1
LCM(2072,2083) = 4315976 / 1
LCM(2072,2083) = 4315976

Least Common Multiple (LCM) of 2072 and 2083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2072 and 2083. First we will calculate the prime factors of 2072 and 2083.

Prime Factorization of 2072

Prime Factorization of 2083

Now multiplying the highest exponent prime factors to calculate the LCM of 2072 and 2083.

LCM(2072,2083) = 2³ × 7¹ × 37¹ × 2083¹
LCM(2072,2083) = 4315976