What is the Least Common Multiple of 91392 and 91409?

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 91392 and 91409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91392 and 91409, than apply into the LCM equation.

GCF(91392,91409) = 17
LCM(91392,91409) = ( 91392 × 91409) / 17
LCM(91392,91409) = 8354051328 / 17
LCM(91392,91409) = 491414784

Least Common Multiple (LCM) of 91392 and 91409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91392 and 91409. First we will calculate the prime factors of 91392 and 91409.

Prime Factorization of 91392

Prime Factorization of 91409

Now multiplying the highest exponent prime factors to calculate the LCM of 91392 and 91409.

LCM(91392,91409) = 2⁸ × 3¹ × 7¹ × 17¹ × 19¹ × 283¹
LCM(91392,91409) = 491414784