What is the Least Common Multiple of 88199 and 88210?

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 88199 and 88210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88199 and 88210, than apply into the LCM equation.

GCF(88199,88210) = 1
LCM(88199,88210) = ( 88199 × 88210) / 1
LCM(88199,88210) = 7780033790 / 1
LCM(88199,88210) = 7780033790

Least Common Multiple (LCM) of 88199 and 88210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88199 and 88210. First we will calculate the prime factors of 88199 and 88210.

Prime Factorization of 88199

Prime Factorization of 88210

Now multiplying the highest exponent prime factors to calculate the LCM of 88199 and 88210.

LCM(88199,88210) = 89¹ × 991¹ × 2¹ × 5¹ × 8821¹
LCM(88199,88210) = 7780033790