GCF and LCM Calculator Logo

What is the Least Common Multiple of 65121 and 65131?

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 65121 and 65131 is 4241395851.

LCM(65121,65131) = 4241395851

LCM Calculator and
and

Least Common Multiple of 65121 and 65131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65121 and 65131, than apply into the LCM equation.

GCF(65121,65131) = 1
LCM(65121,65131) = ( 65121 × 65131) / 1
LCM(65121,65131) = 4241395851 / 1
LCM(65121,65131) = 4241395851

Least Common Multiple (LCM) of 65121 and 65131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65121 and 65131. First we will calculate the prime factors of 65121 and 65131.

Prime Factorization of 65121

Prime factors of 65121 are 3, 7, 443. Prime factorization of 65121 in exponential form is:

65121 = 31 × 72 × 4431

Prime Factorization of 65131

Prime factors of 65131 are 11, 31, 191. Prime factorization of 65131 in exponential form is:

65131 = 111 × 311 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 65121 and 65131.

LCM(65121,65131) = 31 × 72 × 4431 × 111 × 311 × 1911
LCM(65121,65131) = 4241395851