What is the Least Common Multiple of 89380 and 89385?

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 89380 and 89385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89380 and 89385, than apply into the LCM equation.

GCF(89380,89385) = 5
LCM(89380,89385) = ( 89380 × 89385) / 5
LCM(89380,89385) = 7989231300 / 5
LCM(89380,89385) = 1597846260

Least Common Multiple (LCM) of 89380 and 89385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89380 and 89385. First we will calculate the prime factors of 89380 and 89385.

Prime Factorization of 89380

Prime Factorization of 89385

Now multiplying the highest exponent prime factors to calculate the LCM of 89380 and 89385.

LCM(89380,89385) = 2² × 5¹ × 41¹ × 109¹ × 3¹ × 59¹ × 101¹
LCM(89380,89385) = 1597846260