What is the Least Common Multiple of 88199 and 88205?

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 88205 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 88205, than apply into the LCM equation.

GCF(88199,88205) = 1
LCM(88199,88205) = ( 88199 × 88205) / 1
LCM(88199,88205) = 7779592795 / 1
LCM(88199,88205) = 7779592795

Least Common Multiple (LCM) of 88199 and 88205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88199 and 88205. First we will calculate the prime factors of 88199 and 88205.

Prime Factorization of 88199

Prime Factorization of 88205

Now multiplying the highest exponent prime factors to calculate the LCM of 88199 and 88205.

LCM(88199,88205) = 89¹ × 991¹ × 5¹ × 13¹ × 23¹ × 59¹
LCM(88199,88205) = 7779592795