What is the Least Common Multiple of 76389 and 76393?

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 76389 and 76393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76389 and 76393, than apply into the LCM equation.

GCF(76389,76393) = 1
LCM(76389,76393) = ( 76389 × 76393) / 1
LCM(76389,76393) = 5835584877 / 1
LCM(76389,76393) = 5835584877

Least Common Multiple (LCM) of 76389 and 76393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76389 and 76393. First we will calculate the prime factors of 76389 and 76393.

Prime Factorization of 76389

Prime Factorization of 76393

Now multiplying the highest exponent prime factors to calculate the LCM of 76389 and 76393.

LCM(76389,76393) = 3¹ × 25463¹ × 79¹ × 967¹
LCM(76389,76393) = 5835584877