What is the Least Common Multiple of 4424 and 4438?

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 4424 and 4438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4424 and 4438, than apply into the LCM equation.

GCF(4424,4438) = 14
LCM(4424,4438) = ( 4424 × 4438) / 14
LCM(4424,4438) = 19633712 / 14
LCM(4424,4438) = 1402408

Least Common Multiple (LCM) of 4424 and 4438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4424 and 4438. First we will calculate the prime factors of 4424 and 4438.

Prime Factorization of 4424

Prime Factorization of 4438

Now multiplying the highest exponent prime factors to calculate the LCM of 4424 and 4438.

LCM(4424,4438) = 2³ × 7¹ × 79¹ × 317¹
LCM(4424,4438) = 1402408