What is the Least Common Multiple of 92105 and 92111?

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 92105 and 92111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92105 and 92111, than apply into the LCM equation.

GCF(92105,92111) = 1
LCM(92105,92111) = ( 92105 × 92111) / 1
LCM(92105,92111) = 8483883655 / 1
LCM(92105,92111) = 8483883655

Least Common Multiple (LCM) of 92105 and 92111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92105 and 92111. First we will calculate the prime factors of 92105 and 92111.

Prime Factorization of 92105

Prime Factorization of 92111

Now multiplying the highest exponent prime factors to calculate the LCM of 92105 and 92111.

LCM(92105,92111) = 5¹ × 13² × 109¹ × 92111¹
LCM(92105,92111) = 8483883655