GCF and LCM Calculator Logo

What is the Least Common Multiple of 1107 and 1111?

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 1107 and 1111 is 1229877.

LCM(1107,1111) = 1229877

LCM Calculator and
and

Least Common Multiple of 1107 and 1111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1107 and 1111, than apply into the LCM equation.

GCF(1107,1111) = 1
LCM(1107,1111) = ( 1107 × 1111) / 1
LCM(1107,1111) = 1229877 / 1
LCM(1107,1111) = 1229877

Least Common Multiple (LCM) of 1107 and 1111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1107 and 1111. First we will calculate the prime factors of 1107 and 1111.

Prime Factorization of 1107

Prime factors of 1107 are 3, 41. Prime factorization of 1107 in exponential form is:

1107 = 33 × 411

Prime Factorization of 1111

Prime factors of 1111 are 11, 101. Prime factorization of 1111 in exponential form is:

1111 = 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1107 and 1111.

LCM(1107,1111) = 33 × 411 × 111 × 1011
LCM(1107,1111) = 1229877