What is the Least Common Multiple of 93403 and 93407?

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 93403 and 93407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93403 and 93407, than apply into the LCM equation.

GCF(93403,93407) = 1
LCM(93403,93407) = ( 93403 × 93407) / 1
LCM(93403,93407) = 8724494021 / 1
LCM(93403,93407) = 8724494021

Least Common Multiple (LCM) of 93403 and 93407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93403 and 93407. First we will calculate the prime factors of 93403 and 93407.

Prime Factorization of 93403

Prime Factorization of 93407

Now multiplying the highest exponent prime factors to calculate the LCM of 93403 and 93407.

LCM(93403,93407) = 23¹ × 31¹ × 131¹ × 93407¹
LCM(93403,93407) = 8724494021