What is the Least Common Multiple of 74444 and 74464?

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 74444 and 74464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74444 and 74464, than apply into the LCM equation.

GCF(74444,74464) = 4
LCM(74444,74464) = ( 74444 × 74464) / 4
LCM(74444,74464) = 5543398016 / 4
LCM(74444,74464) = 1385849504

Least Common Multiple (LCM) of 74444 and 74464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74444 and 74464. First we will calculate the prime factors of 74444 and 74464.

Prime Factorization of 74444

Prime Factorization of 74464

Now multiplying the highest exponent prime factors to calculate the LCM of 74444 and 74464.

LCM(74444,74464) = 2⁵ × 37¹ × 503¹ × 13¹ × 179¹
LCM(74444,74464) = 1385849504