What is the Least Common Multiple of 79419 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 79419 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 79419 and 79438, than apply into the LCM equation.

GCF(79419,79438) = 1
LCM(79419,79438) = ( 79419 × 79438) / 1
LCM(79419,79438) = 6308886522 / 1
LCM(79419,79438) = 6308886522

Least Common Multiple (LCM) of 79419 and 79438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79419 and 79438. First we will calculate the prime factors of 79419 and 79438.

Prime Factorization of 79419

Prime Factorization of 79438

Now multiplying the highest exponent prime factors to calculate the LCM of 79419 and 79438.

LCM(79419,79438) = 3¹ × 23¹ × 1151¹ × 2¹ × 39719¹
LCM(79419,79438) = 6308886522