What is the Least Common Multiple of 62325 and 62343?

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 62325 and 62343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62325 and 62343, than apply into the LCM equation.

GCF(62325,62343) = 9
LCM(62325,62343) = ( 62325 × 62343) / 9
LCM(62325,62343) = 3885527475 / 9
LCM(62325,62343) = 431725275

Least Common Multiple (LCM) of 62325 and 62343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62325 and 62343. First we will calculate the prime factors of 62325 and 62343.

Prime Factorization of 62325

Prime Factorization of 62343

Now multiplying the highest exponent prime factors to calculate the LCM of 62325 and 62343.

LCM(62325,62343) = 3³ × 5² × 277¹ × 2309¹
LCM(62325,62343) = 431725275