GCF and LCM Calculator Logo

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 (LCM) of 1876 and 1891 is 3547516.

LCM(1876,1891) = 3547516

LCM Calculator and
and

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 factors of 1876 are 2, 7, 67. Prime factorization of 1876 in exponential form is:

1876 = 22 × 71 × 671

Prime Factorization of 1891

Prime factors of 1891 are 31, 61. Prime factorization of 1891 in exponential form is:

1891 = 311 × 611

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