What is the Least Common Multiple of 89208 and 89217?

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 89208 and 89217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89208 and 89217, than apply into the LCM equation.

GCF(89208,89217) = 9
LCM(89208,89217) = ( 89208 × 89217) / 9
LCM(89208,89217) = 7958870136 / 9
LCM(89208,89217) = 884318904

Least Common Multiple (LCM) of 89208 and 89217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89208 and 89217. First we will calculate the prime factors of 89208 and 89217.

Prime Factorization of 89208

Prime Factorization of 89217

Now multiplying the highest exponent prime factors to calculate the LCM of 89208 and 89217.

LCM(89208,89217) = 2³ × 3³ × 7¹ × 59¹ × 23¹ × 431¹
LCM(89208,89217) = 884318904