What is the Least Common Multiple of 91919 and 91936?

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 91919 and 91936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91919 and 91936, than apply into the LCM equation.

GCF(91919,91936) = 17
LCM(91919,91936) = ( 91919 × 91936) / 17
LCM(91919,91936) = 8450665184 / 17
LCM(91919,91936) = 497097952

Least Common Multiple (LCM) of 91919 and 91936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91919 and 91936. First we will calculate the prime factors of 91919 and 91936.

Prime Factorization of 91919

Prime Factorization of 91936

Now multiplying the highest exponent prime factors to calculate the LCM of 91919 and 91936.

LCM(91919,91936) = 17¹ × 5407¹ × 2⁵ × 13²
LCM(91919,91936) = 497097952