GCF and LCM Calculator Logo

What is the Least Common Multiple of 2121 and 2127?

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 2121 and 2127 is 1503789.

LCM(2121,2127) = 1503789

LCM Calculator and
and

Least Common Multiple of 2121 and 2127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2121 and 2127, than apply into the LCM equation.

GCF(2121,2127) = 3
LCM(2121,2127) = ( 2121 × 2127) / 3
LCM(2121,2127) = 4511367 / 3
LCM(2121,2127) = 1503789

Least Common Multiple (LCM) of 2121 and 2127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2121 and 2127. First we will calculate the prime factors of 2121 and 2127.

Prime Factorization of 2121

Prime factors of 2121 are 3, 7, 101. Prime factorization of 2121 in exponential form is:

2121 = 31 × 71 × 1011

Prime Factorization of 2127

Prime factors of 2127 are 3, 709. Prime factorization of 2127 in exponential form is:

2127 = 31 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 2121 and 2127.

LCM(2121,2127) = 31 × 71 × 1011 × 7091
LCM(2121,2127) = 1503789