What is the Least Common Multiple of 2067 and 2087?

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 2067 and 2087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2067 and 2087, than apply into the LCM equation.

GCF(2067,2087) = 1
LCM(2067,2087) = ( 2067 × 2087) / 1
LCM(2067,2087) = 4313829 / 1
LCM(2067,2087) = 4313829

Least Common Multiple (LCM) of 2067 and 2087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2067 and 2087. First we will calculate the prime factors of 2067 and 2087.

Prime Factorization of 2067

Prime Factorization of 2087

Now multiplying the highest exponent prime factors to calculate the LCM of 2067 and 2087.

LCM(2067,2087) = 3¹ × 13¹ × 53¹ × 2087¹
LCM(2067,2087) = 4313829