GCF and LCM Calculator Logo

What is the Least Common Multiple of 1885 and 1897?

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 1885 and 1897 is 3575845.

LCM(1885,1897) = 3575845

LCM Calculator and
and

Least Common Multiple of 1885 and 1897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1885 and 1897, than apply into the LCM equation.

GCF(1885,1897) = 1
LCM(1885,1897) = ( 1885 × 1897) / 1
LCM(1885,1897) = 3575845 / 1
LCM(1885,1897) = 3575845

Least Common Multiple (LCM) of 1885 and 1897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1885 and 1897. First we will calculate the prime factors of 1885 and 1897.

Prime Factorization of 1885

Prime factors of 1885 are 5, 13, 29. Prime factorization of 1885 in exponential form is:

1885 = 51 × 131 × 291

Prime Factorization of 1897

Prime factors of 1897 are 7, 271. Prime factorization of 1897 in exponential form is:

1897 = 71 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1885 and 1897.

LCM(1885,1897) = 51 × 131 × 291 × 71 × 2711
LCM(1885,1897) = 3575845