What is the Least Common Multiple of 74386 and 74401?

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 74386 and 74401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74386 and 74401, than apply into the LCM equation.

GCF(74386,74401) = 1
LCM(74386,74401) = ( 74386 × 74401) / 1
LCM(74386,74401) = 5534392786 / 1
LCM(74386,74401) = 5534392786

Least Common Multiple (LCM) of 74386 and 74401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74386 and 74401. First we will calculate the prime factors of 74386 and 74401.

Prime Factorization of 74386

Prime Factorization of 74401

Now multiplying the highest exponent prime factors to calculate the LCM of 74386 and 74401.

LCM(74386,74401) = 2¹ × 13¹ × 2861¹ × 47¹ × 1583¹
LCM(74386,74401) = 5534392786