What is the Least Common Multiple of 31424 and 31438?

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 31424 and 31438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31424 and 31438, than apply into the LCM equation.

GCF(31424,31438) = 2
LCM(31424,31438) = ( 31424 × 31438) / 2
LCM(31424,31438) = 987907712 / 2
LCM(31424,31438) = 493953856

Least Common Multiple (LCM) of 31424 and 31438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31424 and 31438. First we will calculate the prime factors of 31424 and 31438.

Prime Factorization of 31424

Prime Factorization of 31438

Now multiplying the highest exponent prime factors to calculate the LCM of 31424 and 31438.

LCM(31424,31438) = 2⁶ × 491¹ × 11¹ × 1429¹
LCM(31424,31438) = 493953856