What is the Least Common Multiple of 88815 and 88820?

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 88815 and 88820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88815 and 88820, than apply into the LCM equation.

GCF(88815,88820) = 5
LCM(88815,88820) = ( 88815 × 88820) / 5
LCM(88815,88820) = 7888548300 / 5
LCM(88815,88820) = 1577709660

Least Common Multiple (LCM) of 88815 and 88820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88815 and 88820. First we will calculate the prime factors of 88815 and 88820.

Prime Factorization of 88815

Prime Factorization of 88820

Now multiplying the highest exponent prime factors to calculate the LCM of 88815 and 88820.

LCM(88815,88820) = 3¹ × 5¹ × 31¹ × 191¹ × 2² × 4441¹
LCM(88815,88820) = 1577709660