GCF and LCM Calculator Logo

What is the Least Common Multiple of 60458 and 60473?

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 60458 and 60473 is 3656076634.

LCM(60458,60473) = 3656076634

LCM Calculator and
and

Least Common Multiple of 60458 and 60473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60458 and 60473, than apply into the LCM equation.

GCF(60458,60473) = 1
LCM(60458,60473) = ( 60458 × 60473) / 1
LCM(60458,60473) = 3656076634 / 1
LCM(60458,60473) = 3656076634

Least Common Multiple (LCM) of 60458 and 60473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60458 and 60473. First we will calculate the prime factors of 60458 and 60473.

Prime Factorization of 60458

Prime factors of 60458 are 2, 19, 37, 43. Prime factorization of 60458 in exponential form is:

60458 = 21 × 191 × 371 × 431

Prime Factorization of 60473

Prime factors of 60473 are 7, 53, 163. Prime factorization of 60473 in exponential form is:

60473 = 71 × 531 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 60458 and 60473.

LCM(60458,60473) = 21 × 191 × 371 × 431 × 71 × 531 × 1631
LCM(60458,60473) = 3656076634