What is the Least Common Multiple of 2078 and 2097?

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 2078 and 2097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2078 and 2097, than apply into the LCM equation.

GCF(2078,2097) = 1
LCM(2078,2097) = ( 2078 × 2097) / 1
LCM(2078,2097) = 4357566 / 1
LCM(2078,2097) = 4357566

Least Common Multiple (LCM) of 2078 and 2097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2078 and 2097. First we will calculate the prime factors of 2078 and 2097.

Prime Factorization of 2078

Prime Factorization of 2097

Now multiplying the highest exponent prime factors to calculate the LCM of 2078 and 2097.

LCM(2078,2097) = 2¹ × 1039¹ × 3² × 233¹
LCM(2078,2097) = 4357566