What is the Least Common Multiple of 76393 and 76401?

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 76393 and 76401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76393 and 76401, than apply into the LCM equation.

GCF(76393,76401) = 1
LCM(76393,76401) = ( 76393 × 76401) / 1
LCM(76393,76401) = 5836501593 / 1
LCM(76393,76401) = 5836501593

Least Common Multiple (LCM) of 76393 and 76401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76393 and 76401. First we will calculate the prime factors of 76393 and 76401.

Prime Factorization of 76393

Prime Factorization of 76401

Now multiplying the highest exponent prime factors to calculate the LCM of 76393 and 76401.

LCM(76393,76401) = 79¹ × 967¹ × 3² × 13¹ × 653¹
LCM(76393,76401) = 5836501593