What is the Least Common Multiple of 93392 and 93404?

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 93392 and 93404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93392 and 93404, than apply into the LCM equation.

GCF(93392,93404) = 4
LCM(93392,93404) = ( 93392 × 93404) / 4
LCM(93392,93404) = 8723186368 / 4
LCM(93392,93404) = 2180796592

Least Common Multiple (LCM) of 93392 and 93404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93392 and 93404. First we will calculate the prime factors of 93392 and 93404.

Prime Factorization of 93392

Prime Factorization of 93404

Now multiplying the highest exponent prime factors to calculate the LCM of 93392 and 93404.

LCM(93392,93404) = 2⁴ × 13¹ × 449¹ × 19¹ × 1229¹
LCM(93392,93404) = 2180796592