What is the Least Common Multiple of 91109 and 91114?

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 91109 and 91114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91109 and 91114, than apply into the LCM equation.

GCF(91109,91114) = 1
LCM(91109,91114) = ( 91109 × 91114) / 1
LCM(91109,91114) = 8301305426 / 1
LCM(91109,91114) = 8301305426

Least Common Multiple (LCM) of 91109 and 91114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91109 and 91114. First we will calculate the prime factors of 91109 and 91114.

Prime Factorization of 91109

Prime Factorization of 91114

Now multiplying the highest exponent prime factors to calculate the LCM of 91109 and 91114.

LCM(91109,91114) = 31¹ × 2939¹ × 2¹ × 45557¹
LCM(91109,91114) = 8301305426