What is the Least Common Multiple of 76337 and 76341?

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 76337 and 76341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76337 and 76341, than apply into the LCM equation.

GCF(76337,76341) = 1
LCM(76337,76341) = ( 76337 × 76341) / 1
LCM(76337,76341) = 5827642917 / 1
LCM(76337,76341) = 5827642917

Least Common Multiple (LCM) of 76337 and 76341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76337 and 76341. First we will calculate the prime factors of 76337 and 76341.

Prime Factorization of 76337

Prime Factorization of 76341

Now multiplying the highest exponent prime factors to calculate the LCM of 76337 and 76341.

LCM(76337,76341) = 23¹ × 3319¹ × 3¹ × 25447¹
LCM(76337,76341) = 5827642917