What is the Least Common Multiple of 53343 and 53347?

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 53343 and 53347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53343 and 53347, than apply into the LCM equation.

GCF(53343,53347) = 1
LCM(53343,53347) = ( 53343 × 53347) / 1
LCM(53343,53347) = 2845689021 / 1
LCM(53343,53347) = 2845689021

Least Common Multiple (LCM) of 53343 and 53347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53343 and 53347. First we will calculate the prime factors of 53343 and 53347.

Prime Factorization of 53343

Prime Factorization of 53347

Now multiplying the highest exponent prime factors to calculate the LCM of 53343 and 53347.

LCM(53343,53347) = 3² × 5927¹ × 7¹ × 7621¹
LCM(53343,53347) = 2845689021