What is the Least Common Multiple of 62173 and 62181?

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 62173 and 62181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62173 and 62181, than apply into the LCM equation.

GCF(62173,62181) = 1
LCM(62173,62181) = ( 62173 × 62181) / 1
LCM(62173,62181) = 3865979313 / 1
LCM(62173,62181) = 3865979313

Least Common Multiple (LCM) of 62173 and 62181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62173 and 62181. First we will calculate the prime factors of 62173 and 62181.

Prime Factorization of 62173

Prime Factorization of 62181

Now multiplying the highest exponent prime factors to calculate the LCM of 62173 and 62181.

LCM(62173,62181) = 79¹ × 787¹ × 3³ × 7² × 47¹
LCM(62173,62181) = 3865979313