What is the Least Common Multiple of 61473 and 61487?

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 of 61473 and 61487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61473 and 61487, than apply into the LCM equation.

GCF(61473,61487) = 1
LCM(61473,61487) = ( 61473 × 61487) / 1
LCM(61473,61487) = 3779790351 / 1
LCM(61473,61487) = 3779790351

Least Common Multiple (LCM) of 61473 and 61487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61473 and 61487. First we will calculate the prime factors of 61473 and 61487.

Prime Factorization of 61473

Prime Factorization of 61487

Now multiplying the highest exponent prime factors to calculate the LCM of 61473 and 61487.

LCM(61473,61487) = 3¹ × 31¹ × 661¹ × 61487¹
LCM(61473,61487) = 3779790351