What is the Least Common Multiple of 91936 and 91949?

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 91936 and 91949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91936 and 91949, than apply into the LCM equation.

GCF(91936,91949) = 13
LCM(91936,91949) = ( 91936 × 91949) / 13
LCM(91936,91949) = 8453423264 / 13
LCM(91936,91949) = 650263328

Least Common Multiple (LCM) of 91936 and 91949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91936 and 91949. First we will calculate the prime factors of 91936 and 91949.

Prime Factorization of 91936

Prime Factorization of 91949

Now multiplying the highest exponent prime factors to calculate the LCM of 91936 and 91949.

LCM(91936,91949) = 2⁵ × 13² × 17¹ × 11¹ × 643¹
LCM(91936,91949) = 650263328