What is the Least Common Multiple of 87199 and 87215?

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 87199 and 87215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87199 and 87215, than apply into the LCM equation.

GCF(87199,87215) = 1
LCM(87199,87215) = ( 87199 × 87215) / 1
LCM(87199,87215) = 7605060785 / 1
LCM(87199,87215) = 7605060785

Least Common Multiple (LCM) of 87199 and 87215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87199 and 87215. First we will calculate the prime factors of 87199 and 87215.

Prime Factorization of 87199

Prime Factorization of 87215

Now multiplying the highest exponent prime factors to calculate the LCM of 87199 and 87215.

LCM(87199,87215) = 7¹ × 12457¹ × 5¹ × 17443¹
LCM(87199,87215) = 7605060785