What is the Least Common Multiple of 88385 and 88405?

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 88385 and 88405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88385 and 88405, than apply into the LCM equation.

GCF(88385,88405) = 5
LCM(88385,88405) = ( 88385 × 88405) / 5
LCM(88385,88405) = 7813675925 / 5
LCM(88385,88405) = 1562735185

Least Common Multiple (LCM) of 88385 and 88405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88385 and 88405. First we will calculate the prime factors of 88385 and 88405.

Prime Factorization of 88385

Prime Factorization of 88405

Now multiplying the highest exponent prime factors to calculate the LCM of 88385 and 88405.

LCM(88385,88405) = 5¹ × 11¹ × 1607¹ × 17681¹
LCM(88385,88405) = 1562735185