What is the Least Common Multiple of 62263 and 62281?

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 62263 and 62281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62263 and 62281, than apply into the LCM equation.

GCF(62263,62281) = 1
LCM(62263,62281) = ( 62263 × 62281) / 1
LCM(62263,62281) = 3877801903 / 1
LCM(62263,62281) = 3877801903

Least Common Multiple (LCM) of 62263 and 62281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62263 and 62281. First we will calculate the prime factors of 62263 and 62281.

Prime Factorization of 62263

Prime Factorization of 62281

Now multiplying the highest exponent prime factors to calculate the LCM of 62263 and 62281.

LCM(62263,62281) = 19¹ × 29¹ × 113¹ × 61¹ × 1021¹
LCM(62263,62281) = 3877801903