What is the Least Common Multiple of 91918 and 91931?

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 91918 and 91931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91918 and 91931, than apply into the LCM equation.

GCF(91918,91931) = 1
LCM(91918,91931) = ( 91918 × 91931) / 1
LCM(91918,91931) = 8450113658 / 1
LCM(91918,91931) = 8450113658

Least Common Multiple (LCM) of 91918 and 91931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91918 and 91931. First we will calculate the prime factors of 91918 and 91931.

Prime Factorization of 91918

Prime Factorization of 91931

Now multiplying the highest exponent prime factors to calculate the LCM of 91918 and 91931.

LCM(91918,91931) = 2¹ × 45959¹ × 7¹ × 23¹ × 571¹
LCM(91918,91931) = 8450113658