What is the Least Common Multiple of 62345 and 62353?

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 62345 and 62353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62345 and 62353, than apply into the LCM equation.

GCF(62345,62353) = 1
LCM(62345,62353) = ( 62345 × 62353) / 1
LCM(62345,62353) = 3887397785 / 1
LCM(62345,62353) = 3887397785

Least Common Multiple (LCM) of 62345 and 62353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62345 and 62353. First we will calculate the prime factors of 62345 and 62353.

Prime Factorization of 62345

Prime Factorization of 62353

Now multiplying the highest exponent prime factors to calculate the LCM of 62345 and 62353.

LCM(62345,62353) = 5¹ × 37¹ × 337¹ × 23¹ × 2711¹
LCM(62345,62353) = 3887397785