What is the Least Common Multiple of 91040 and 91051?

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 91040 and 91051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91040 and 91051, than apply into the LCM equation.

GCF(91040,91051) = 1
LCM(91040,91051) = ( 91040 × 91051) / 1
LCM(91040,91051) = 8289283040 / 1
LCM(91040,91051) = 8289283040

Least Common Multiple (LCM) of 91040 and 91051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91040 and 91051. First we will calculate the prime factors of 91040 and 91051.

Prime Factorization of 91040

Prime Factorization of 91051

Now multiplying the highest exponent prime factors to calculate the LCM of 91040 and 91051.

LCM(91040,91051) = 2⁵ × 5¹ × 569¹ × 83¹ × 1097¹
LCM(91040,91051) = 8289283040