GCF and LCM Calculator Logo

What is the Least Common Multiple of 1861 and 1867?

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 1861 and 1867 is 3474487.

LCM(1861,1867) = 3474487

LCM Calculator and
and

Least Common Multiple of 1861 and 1867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1861 and 1867, than apply into the LCM equation.

GCF(1861,1867) = 1
LCM(1861,1867) = ( 1861 × 1867) / 1
LCM(1861,1867) = 3474487 / 1
LCM(1861,1867) = 3474487

Least Common Multiple (LCM) of 1861 and 1867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1861 and 1867. First we will calculate the prime factors of 1861 and 1867.

Prime Factorization of 1861

Prime factors of 1861 are 1861. Prime factorization of 1861 in exponential form is:

1861 = 18611

Prime Factorization of 1867

Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:

1867 = 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 1861 and 1867.

LCM(1861,1867) = 18611 × 18671
LCM(1861,1867) = 3474487