What is the Least Common Multiple of 87208 and 87228?

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 87208 and 87228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87208 and 87228, than apply into the LCM equation.

GCF(87208,87228) = 4
LCM(87208,87228) = ( 87208 × 87228) / 4
LCM(87208,87228) = 7606979424 / 4
LCM(87208,87228) = 1901744856

Least Common Multiple (LCM) of 87208 and 87228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87208 and 87228. First we will calculate the prime factors of 87208 and 87228.

Prime Factorization of 87208

Prime Factorization of 87228

Now multiplying the highest exponent prime factors to calculate the LCM of 87208 and 87228.

LCM(87208,87228) = 2³ × 11¹ × 991¹ × 3² × 2423¹
LCM(87208,87228) = 1901744856