GCF and LCM Calculator Logo

What is the Least Common Multiple of 60475 and 60491?

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 60475 and 60491 is 3658193225.

LCM(60475,60491) = 3658193225

LCM Calculator and
and

Least Common Multiple of 60475 and 60491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60475 and 60491, than apply into the LCM equation.

GCF(60475,60491) = 1
LCM(60475,60491) = ( 60475 × 60491) / 1
LCM(60475,60491) = 3658193225 / 1
LCM(60475,60491) = 3658193225

Least Common Multiple (LCM) of 60475 and 60491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60475 and 60491. First we will calculate the prime factors of 60475 and 60491.

Prime Factorization of 60475

Prime factors of 60475 are 5, 41, 59. Prime factorization of 60475 in exponential form is:

60475 = 52 × 411 × 591

Prime Factorization of 60491

Prime factors of 60491 are 241, 251. Prime factorization of 60491 in exponential form is:

60491 = 2411 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 60475 and 60491.

LCM(60475,60491) = 52 × 411 × 591 × 2411 × 2511
LCM(60475,60491) = 3658193225