What is the Least Common Multiple of 92345 and 92360?

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 92345 and 92360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92345 and 92360, than apply into the LCM equation.

GCF(92345,92360) = 5
LCM(92345,92360) = ( 92345 × 92360) / 5
LCM(92345,92360) = 8528984200 / 5
LCM(92345,92360) = 1705796840

Least Common Multiple (LCM) of 92345 and 92360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92345 and 92360. First we will calculate the prime factors of 92345 and 92360.

Prime Factorization of 92345

Prime Factorization of 92360

Now multiplying the highest exponent prime factors to calculate the LCM of 92345 and 92360.

LCM(92345,92360) = 5¹ × 11¹ × 23¹ × 73¹ × 2³ × 2309¹
LCM(92345,92360) = 1705796840