What is the Least Common Multiple of 96085 and 96105?

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 96085 and 96105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96085 and 96105, than apply into the LCM equation.

GCF(96085,96105) = 5
LCM(96085,96105) = ( 96085 × 96105) / 5
LCM(96085,96105) = 9234248925 / 5
LCM(96085,96105) = 1846849785

Least Common Multiple (LCM) of 96085 and 96105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96085 and 96105. First we will calculate the prime factors of 96085 and 96105.

Prime Factorization of 96085

Prime Factorization of 96105

Now multiplying the highest exponent prime factors to calculate the LCM of 96085 and 96105.

LCM(96085,96105) = 5¹ × 11¹ × 1747¹ × 3¹ × 43¹ × 149¹
LCM(96085,96105) = 1846849785