What is the Least Common Multiple of 74401 and 74420?

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 74420 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 74420, than apply into the LCM equation.

GCF(74401,74420) = 1
LCM(74401,74420) = ( 74401 × 74420) / 1
LCM(74401,74420) = 5536922420 / 1
LCM(74401,74420) = 5536922420

Least Common Multiple (LCM) of 74401 and 74420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74401 and 74420. First we will calculate the prime factors of 74401 and 74420.

Prime Factorization of 74401

Prime Factorization of 74420

Now multiplying the highest exponent prime factors to calculate the LCM of 74401 and 74420.

LCM(74401,74420) = 47¹ × 1583¹ × 2² × 5¹ × 61²
LCM(74401,74420) = 5536922420