What is the Least Common Multiple of 74401 and 74413?

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 74401 and 74413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74401 and 74413, than apply into the LCM equation.

GCF(74401,74413) = 1
LCM(74401,74413) = ( 74401 × 74413) / 1
LCM(74401,74413) = 5536401613 / 1
LCM(74401,74413) = 5536401613

Least Common Multiple (LCM) of 74401 and 74413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74401 and 74413. First we will calculate the prime factors of 74401 and 74413.

Prime Factorization of 74401

Prime Factorization of 74413

Now multiplying the highest exponent prime factors to calculate the LCM of 74401 and 74413.

LCM(74401,74413) = 47¹ × 1583¹ × 74413¹
LCM(74401,74413) = 5536401613