What is the Least Common Multiple of 2074 and 2078?

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 2074 and 2078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2074 and 2078, than apply into the LCM equation.

GCF(2074,2078) = 2
LCM(2074,2078) = ( 2074 × 2078) / 2
LCM(2074,2078) = 4309772 / 2
LCM(2074,2078) = 2154886

Least Common Multiple (LCM) of 2074 and 2078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2074 and 2078. First we will calculate the prime factors of 2074 and 2078.

Prime Factorization of 2074

Prime Factorization of 2078

Now multiplying the highest exponent prime factors to calculate the LCM of 2074 and 2078.

LCM(2074,2078) = 2¹ × 17¹ × 61¹ × 1039¹
LCM(2074,2078) = 2154886