What is the Least Common Multiple of 87199 and 87206?

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 87206 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 87206, than apply into the LCM equation.

GCF(87199,87206) = 7
LCM(87199,87206) = ( 87199 × 87206) / 7
LCM(87199,87206) = 7604275994 / 7
LCM(87199,87206) = 1086325142

Least Common Multiple (LCM) of 87199 and 87206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87199 and 87206. First we will calculate the prime factors of 87199 and 87206.

Prime Factorization of 87199

Prime Factorization of 87206

Now multiplying the highest exponent prime factors to calculate the LCM of 87199 and 87206.

LCM(87199,87206) = 7¹ × 12457¹ × 2¹ × 6229¹
LCM(87199,87206) = 1086325142