What is the Least Common Multiple of 62384 and 62401?

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 62384 and 62401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62384 and 62401, than apply into the LCM equation.

GCF(62384,62401) = 1
LCM(62384,62401) = ( 62384 × 62401) / 1
LCM(62384,62401) = 3892823984 / 1
LCM(62384,62401) = 3892823984

Least Common Multiple (LCM) of 62384 and 62401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62384 and 62401. First we will calculate the prime factors of 62384 and 62401.

Prime Factorization of 62384

Prime Factorization of 62401

Now multiplying the highest exponent prime factors to calculate the LCM of 62384 and 62401.

LCM(62384,62401) = 2⁴ × 7¹ × 557¹ × 62401¹
LCM(62384,62401) = 3892823984