What is the Least Common Multiple of 88085 and 88100?

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 88085 and 88100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88085 and 88100, than apply into the LCM equation.

GCF(88085,88100) = 5
LCM(88085,88100) = ( 88085 × 88100) / 5
LCM(88085,88100) = 7760288500 / 5
LCM(88085,88100) = 1552057700

Least Common Multiple (LCM) of 88085 and 88100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88085 and 88100. First we will calculate the prime factors of 88085 and 88100.

Prime Factorization of 88085

Prime Factorization of 88100

Now multiplying the highest exponent prime factors to calculate the LCM of 88085 and 88100.

LCM(88085,88100) = 5² × 79¹ × 223¹ × 2² × 881¹
LCM(88085,88100) = 1552057700