What is the Least Common Multiple of 93890 and 93905?

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 93890 and 93905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93890 and 93905, than apply into the LCM equation.

GCF(93890,93905) = 5
LCM(93890,93905) = ( 93890 × 93905) / 5
LCM(93890,93905) = 8816740450 / 5
LCM(93890,93905) = 1763348090

Least Common Multiple (LCM) of 93890 and 93905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93890 and 93905. First we will calculate the prime factors of 93890 and 93905.

Prime Factorization of 93890

Prime Factorization of 93905

Now multiplying the highest exponent prime factors to calculate the LCM of 93890 and 93905.

LCM(93890,93905) = 2¹ × 5¹ × 41¹ × 229¹ × 7¹ × 2683¹
LCM(93890,93905) = 1763348090