What is the Least Common Multiple of 91492 and 91499?

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 91492 and 91499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91492 and 91499, than apply into the LCM equation.

GCF(91492,91499) = 1
LCM(91492,91499) = ( 91492 × 91499) / 1
LCM(91492,91499) = 8371426508 / 1
LCM(91492,91499) = 8371426508

Least Common Multiple (LCM) of 91492 and 91499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91492 and 91499. First we will calculate the prime factors of 91492 and 91499.

Prime Factorization of 91492

Prime Factorization of 91499

Now multiplying the highest exponent prime factors to calculate the LCM of 91492 and 91499.

LCM(91492,91499) = 2² × 89¹ × 257¹ × 91499¹
LCM(91492,91499) = 8371426508