What is the Least Common Multiple of 93805 and 93820?

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 93805 and 93820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93805 and 93820, than apply into the LCM equation.

GCF(93805,93820) = 5
LCM(93805,93820) = ( 93805 × 93820) / 5
LCM(93805,93820) = 8800785100 / 5
LCM(93805,93820) = 1760157020

Least Common Multiple (LCM) of 93805 and 93820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93805 and 93820. First we will calculate the prime factors of 93805 and 93820.

Prime Factorization of 93805

Prime Factorization of 93820

Now multiplying the highest exponent prime factors to calculate the LCM of 93805 and 93820.

LCM(93805,93820) = 5¹ × 73¹ × 257¹ × 2² × 4691¹
LCM(93805,93820) = 1760157020