What is the Least Common Multiple of 87192 and 87207?

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 87192 and 87207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87192 and 87207, than apply into the LCM equation.

GCF(87192,87207) = 3
LCM(87192,87207) = ( 87192 × 87207) / 3
LCM(87192,87207) = 7603752744 / 3
LCM(87192,87207) = 2534584248

Least Common Multiple (LCM) of 87192 and 87207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87192 and 87207. First we will calculate the prime factors of 87192 and 87207.

Prime Factorization of 87192

Prime Factorization of 87207

Now multiplying the highest exponent prime factors to calculate the LCM of 87192 and 87207.

LCM(87192,87207) = 2³ × 3² × 7¹ × 173¹ × 41¹ × 709¹
LCM(87192,87207) = 2534584248