What is the Least Common Multiple of 88350 and 88365?

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 88350 and 88365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88350 and 88365, than apply into the LCM equation.

GCF(88350,88365) = 15
LCM(88350,88365) = ( 88350 × 88365) / 15
LCM(88350,88365) = 7807047750 / 15
LCM(88350,88365) = 520469850

Least Common Multiple (LCM) of 88350 and 88365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88350 and 88365. First we will calculate the prime factors of 88350 and 88365.

Prime Factorization of 88350

Prime Factorization of 88365

Now multiplying the highest exponent prime factors to calculate the LCM of 88350 and 88365.

LCM(88350,88365) = 2¹ × 3¹ × 5² × 19¹ × 31¹ × 43¹ × 137¹
LCM(88350,88365) = 520469850