What is the Least Common Multiple of 62377 and 62381?

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 62377 and 62381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62377 and 62381, than apply into the LCM equation.

GCF(62377,62381) = 1
LCM(62377,62381) = ( 62377 × 62381) / 1
LCM(62377,62381) = 3891139637 / 1
LCM(62377,62381) = 3891139637

Least Common Multiple (LCM) of 62377 and 62381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62377 and 62381. First we will calculate the prime factors of 62377 and 62381.

Prime Factorization of 62377

Prime Factorization of 62381

Now multiplying the highest exponent prime factors to calculate the LCM of 62377 and 62381.

LCM(62377,62381) = 7² × 19¹ × 67¹ × 11¹ × 53¹ × 107¹
LCM(62377,62381) = 3891139637