GCF and LCM Calculator Logo

What is the Least Common Multiple of 65413 and 65431?

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 65413 and 65431 is 4280038003.

LCM(65413,65431) = 4280038003

LCM Calculator and
and

Least Common Multiple of 65413 and 65431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65413 and 65431, than apply into the LCM equation.

GCF(65413,65431) = 1
LCM(65413,65431) = ( 65413 × 65431) / 1
LCM(65413,65431) = 4280038003 / 1
LCM(65413,65431) = 4280038003

Least Common Multiple (LCM) of 65413 and 65431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65413 and 65431. First we will calculate the prime factors of 65413 and 65431.

Prime Factorization of 65413

Prime factors of 65413 are 65413. Prime factorization of 65413 in exponential form is:

65413 = 654131

Prime Factorization of 65431

Prime factors of 65431 are 59, 1109. Prime factorization of 65431 in exponential form is:

65431 = 591 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 65413 and 65431.

LCM(65413,65431) = 654131 × 591 × 11091
LCM(65413,65431) = 4280038003