What is the Least Common Multiple of 1876 and 1891?

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 1876 and 1891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1876 and 1891, than apply into the LCM equation.

GCF(1876,1891) = 1
LCM(1876,1891) = ( 1876 × 1891) / 1
LCM(1876,1891) = 3547516 / 1
LCM(1876,1891) = 3547516

Least Common Multiple (LCM) of 1876 and 1891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1876 and 1891. First we will calculate the prime factors of 1876 and 1891.

Prime Factorization of 1876

Prime Factorization of 1891

Now multiplying the highest exponent prime factors to calculate the LCM of 1876 and 1891.

LCM(1876,1891) = 2² × 7¹ × 67¹ × 31¹ × 61¹
LCM(1876,1891) = 3547516