What is the Least Common Multiple of 74389 and 74403?

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 74389 and 74403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74389 and 74403, than apply into the LCM equation.

GCF(74389,74403) = 7
LCM(74389,74403) = ( 74389 × 74403) / 7
LCM(74389,74403) = 5534764767 / 7
LCM(74389,74403) = 790680681

Least Common Multiple (LCM) of 74389 and 74403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74389 and 74403. First we will calculate the prime factors of 74389 and 74403.

Prime Factorization of 74389

Prime Factorization of 74403

Now multiplying the highest exponent prime factors to calculate the LCM of 74389 and 74403.

LCM(74389,74403) = 7¹ × 10627¹ × 3² × 1181¹
LCM(74389,74403) = 790680681