What is the Least Common Multiple of 87205 and 87218?

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 87205 and 87218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87205 and 87218, than apply into the LCM equation.

GCF(87205,87218) = 1
LCM(87205,87218) = ( 87205 × 87218) / 1
LCM(87205,87218) = 7605845690 / 1
LCM(87205,87218) = 7605845690

Least Common Multiple (LCM) of 87205 and 87218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87205 and 87218. First we will calculate the prime factors of 87205 and 87218.

Prime Factorization of 87205

Prime Factorization of 87218

Now multiplying the highest exponent prime factors to calculate the LCM of 87205 and 87218.

LCM(87205,87218) = 5¹ × 107¹ × 163¹ × 2¹ × 43609¹
LCM(87205,87218) = 7605845690