What is the Least Common Multiple of 87192 and 87197?

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 87197 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 87197, than apply into the LCM equation.

GCF(87192,87197) = 1
LCM(87192,87197) = ( 87192 × 87197) / 1
LCM(87192,87197) = 7602880824 / 1
LCM(87192,87197) = 7602880824

Least Common Multiple (LCM) of 87192 and 87197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87192 and 87197. First we will calculate the prime factors of 87192 and 87197.

Prime Factorization of 87192

Prime Factorization of 87197

Now multiplying the highest exponent prime factors to calculate the LCM of 87192 and 87197.

LCM(87192,87197) = 2³ × 3² × 7¹ × 173¹ × 11¹ × 7927¹
LCM(87192,87197) = 7602880824