What is the Least Common Multiple of 88360 and 88367?

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 88360 and 88367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88360 and 88367, than apply into the LCM equation.

GCF(88360,88367) = 1
LCM(88360,88367) = ( 88360 × 88367) / 1
LCM(88360,88367) = 7808108120 / 1
LCM(88360,88367) = 7808108120

Least Common Multiple (LCM) of 88360 and 88367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88360 and 88367. First we will calculate the prime factors of 88360 and 88367.

Prime Factorization of 88360

Prime Factorization of 88367

Now multiplying the highest exponent prime factors to calculate the LCM of 88360 and 88367.

LCM(88360,88367) = 2³ × 5¹ × 47² × 97¹ × 911¹
LCM(88360,88367) = 7808108120