What is the Least Common Multiple of 76342 and 76349?

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 76342 and 76349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76342 and 76349, than apply into the LCM equation.

GCF(76342,76349) = 7
LCM(76342,76349) = ( 76342 × 76349) / 7
LCM(76342,76349) = 5828635358 / 7
LCM(76342,76349) = 832662194

Least Common Multiple (LCM) of 76342 and 76349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76342 and 76349. First we will calculate the prime factors of 76342 and 76349.

Prime Factorization of 76342

Prime Factorization of 76349

Now multiplying the highest exponent prime factors to calculate the LCM of 76342 and 76349.

LCM(76342,76349) = 2¹ × 7² × 19¹ × 41¹ × 13¹ × 839¹
LCM(76342,76349) = 832662194