What is the Least Common Multiple of 62281 and 62296?

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 62281 and 62296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62281 and 62296, than apply into the LCM equation.

GCF(62281,62296) = 1
LCM(62281,62296) = ( 62281 × 62296) / 1
LCM(62281,62296) = 3879857176 / 1
LCM(62281,62296) = 3879857176

Least Common Multiple (LCM) of 62281 and 62296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62281 and 62296. First we will calculate the prime factors of 62281 and 62296.

Prime Factorization of 62281

Prime Factorization of 62296

Now multiplying the highest exponent prime factors to calculate the LCM of 62281 and 62296.

LCM(62281,62296) = 61¹ × 1021¹ × 2³ × 13¹ × 599¹
LCM(62281,62296) = 3879857176