What is the Least Common Multiple of 79424 and 79438?

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 79424 and 79438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79424 and 79438, than apply into the LCM equation.

GCF(79424,79438) = 2
LCM(79424,79438) = ( 79424 × 79438) / 2
LCM(79424,79438) = 6309283712 / 2
LCM(79424,79438) = 3154641856

Least Common Multiple (LCM) of 79424 and 79438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79424 and 79438. First we will calculate the prime factors of 79424 and 79438.

Prime Factorization of 79424

Prime Factorization of 79438

Now multiplying the highest exponent prime factors to calculate the LCM of 79424 and 79438.

LCM(79424,79438) = 2⁶ × 17¹ × 73¹ × 39719¹
LCM(79424,79438) = 3154641856