What is the Least Common Multiple of 92109 and 92117?

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 92109 and 92117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92109 and 92117, than apply into the LCM equation.

GCF(92109,92117) = 1
LCM(92109,92117) = ( 92109 × 92117) / 1
LCM(92109,92117) = 8484804753 / 1
LCM(92109,92117) = 8484804753

Least Common Multiple (LCM) of 92109 and 92117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92109 and 92117. First we will calculate the prime factors of 92109 and 92117.

Prime Factorization of 92109

Prime Factorization of 92117

Now multiplying the highest exponent prime factors to calculate the LCM of 92109 and 92117.

LCM(92109,92117) = 3¹ × 30703¹ × 251¹ × 367¹
LCM(92109,92117) = 8484804753