What is the Least Common Multiple of 88515 and 88535?

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 88515 and 88535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88515 and 88535, than apply into the LCM equation.

GCF(88515,88535) = 5
LCM(88515,88535) = ( 88515 × 88535) / 5
LCM(88515,88535) = 7836675525 / 5
LCM(88515,88535) = 1567335105

Least Common Multiple (LCM) of 88515 and 88535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88515 and 88535. First we will calculate the prime factors of 88515 and 88535.

Prime Factorization of 88515

Prime Factorization of 88535

Now multiplying the highest exponent prime factors to calculate the LCM of 88515 and 88535.

LCM(88515,88535) = 3² × 5¹ × 7¹ × 281¹ × 17707¹
LCM(88515,88535) = 1567335105