What is the Least Common Multiple of 74420 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 74420 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 74420 and 74438, than apply into the LCM equation.

GCF(74420,74438) = 2
LCM(74420,74438) = ( 74420 × 74438) / 2
LCM(74420,74438) = 5539675960 / 2
LCM(74420,74438) = 2769837980

Least Common Multiple (LCM) of 74420 and 74438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74420 and 74438. First we will calculate the prime factors of 74420 and 74438.

Prime Factorization of 74420

Prime Factorization of 74438

Now multiplying the highest exponent prime factors to calculate the LCM of 74420 and 74438.

LCM(74420,74438) = 2² × 5¹ × 61² × 7¹ × 13¹ × 409¹
LCM(74420,74438) = 2769837980