What is the Least Common Multiple of 75633 and 75643?

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 75633 and 75643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75633 and 75643, than apply into the LCM equation.

GCF(75633,75643) = 1
LCM(75633,75643) = ( 75633 × 75643) / 1
LCM(75633,75643) = 5721107019 / 1
LCM(75633,75643) = 5721107019

Least Common Multiple (LCM) of 75633 and 75643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75633 and 75643. First we will calculate the prime factors of 75633 and 75643.

Prime Factorization of 75633

Prime Factorization of 75643

Now multiplying the highest exponent prime factors to calculate the LCM of 75633 and 75643.

LCM(75633,75643) = 3¹ × 17¹ × 1483¹ × 67¹ × 1129¹
LCM(75633,75643) = 5721107019