GCF and LCM Calculator Logo

What is the Least Common Multiple of 4137 and 4141?

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 4137 and 4141 is 17131317.

LCM(4137,4141) = 17131317

LCM Calculator and
and

Least Common Multiple of 4137 and 4141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4137 and 4141, than apply into the LCM equation.

GCF(4137,4141) = 1
LCM(4137,4141) = ( 4137 × 4141) / 1
LCM(4137,4141) = 17131317 / 1
LCM(4137,4141) = 17131317

Least Common Multiple (LCM) of 4137 and 4141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4137 and 4141. First we will calculate the prime factors of 4137 and 4141.

Prime Factorization of 4137

Prime factors of 4137 are 3, 7, 197. Prime factorization of 4137 in exponential form is:

4137 = 31 × 71 × 1971

Prime Factorization of 4141

Prime factors of 4141 are 41, 101. Prime factorization of 4141 in exponential form is:

4141 = 411 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4137 and 4141.

LCM(4137,4141) = 31 × 71 × 1971 × 411 × 1011
LCM(4137,4141) = 17131317