What is the Least Common Multiple of 74424 and 74438?

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 74424 and 74438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74424 and 74438, than apply into the LCM equation.

GCF(74424,74438) = 14
LCM(74424,74438) = ( 74424 × 74438) / 14
LCM(74424,74438) = 5539973712 / 14
LCM(74424,74438) = 395712408

Least Common Multiple (LCM) of 74424 and 74438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74424 and 74438. First we will calculate the prime factors of 74424 and 74438.

Prime Factorization of 74424

Prime Factorization of 74438

Now multiplying the highest exponent prime factors to calculate the LCM of 74424 and 74438.

LCM(74424,74438) = 2³ × 3¹ × 7¹ × 443¹ × 13¹ × 409¹
LCM(74424,74438) = 395712408