What is the Least Common Multiple of 88205 and 88214?

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 88205 and 88214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88205 and 88214, than apply into the LCM equation.

GCF(88205,88214) = 1
LCM(88205,88214) = ( 88205 × 88214) / 1
LCM(88205,88214) = 7780915870 / 1
LCM(88205,88214) = 7780915870

Least Common Multiple (LCM) of 88205 and 88214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88205 and 88214. First we will calculate the prime factors of 88205 and 88214.

Prime Factorization of 88205

Prime Factorization of 88214

Now multiplying the highest exponent prime factors to calculate the LCM of 88205 and 88214.

LCM(88205,88214) = 5¹ × 13¹ × 23¹ × 59¹ × 2¹ × 7¹ × 6301¹
LCM(88205,88214) = 7780915870