What is the Least Common Multiple of 88240 and 88245?

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 88240 and 88245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88240 and 88245, than apply into the LCM equation.

GCF(88240,88245) = 5
LCM(88240,88245) = ( 88240 × 88245) / 5
LCM(88240,88245) = 7786738800 / 5
LCM(88240,88245) = 1557347760

Least Common Multiple (LCM) of 88240 and 88245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88240 and 88245. First we will calculate the prime factors of 88240 and 88245.

Prime Factorization of 88240

Prime Factorization of 88245

Now multiplying the highest exponent prime factors to calculate the LCM of 88240 and 88245.

LCM(88240,88245) = 2⁴ × 5¹ × 1103¹ × 3² × 37¹ × 53¹
LCM(88240,88245) = 1557347760