What is the Least Common Multiple of 61343 and 61347?

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 61343 and 61347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61343 and 61347, than apply into the LCM equation.

GCF(61343,61347) = 1
LCM(61343,61347) = ( 61343 × 61347) / 1
LCM(61343,61347) = 3763209021 / 1
LCM(61343,61347) = 3763209021

Least Common Multiple (LCM) of 61343 and 61347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61343 and 61347. First we will calculate the prime factors of 61343 and 61347.

Prime Factorization of 61343

Prime Factorization of 61347

Now multiplying the highest exponent prime factors to calculate the LCM of 61343 and 61347.

LCM(61343,61347) = 61343¹ × 3¹ × 11² × 13²
LCM(61343,61347) = 3763209021