What is the Least Common Multiple of 53345 and 53365?

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 53345 and 53365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53345 and 53365, than apply into the LCM equation.

GCF(53345,53365) = 5
LCM(53345,53365) = ( 53345 × 53365) / 5
LCM(53345,53365) = 2846755925 / 5
LCM(53345,53365) = 569351185

Least Common Multiple (LCM) of 53345 and 53365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53345 and 53365. First we will calculate the prime factors of 53345 and 53365.

Prime Factorization of 53345

Prime Factorization of 53365

Now multiplying the highest exponent prime factors to calculate the LCM of 53345 and 53365.

LCM(53345,53365) = 5¹ × 47¹ × 227¹ × 13¹ × 821¹
LCM(53345,53365) = 569351185