What is the Least Common Multiple of 87164 and 87173?

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 87164 and 87173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87164 and 87173, than apply into the LCM equation.

GCF(87164,87173) = 1
LCM(87164,87173) = ( 87164 × 87173) / 1
LCM(87164,87173) = 7598347372 / 1
LCM(87164,87173) = 7598347372

Least Common Multiple (LCM) of 87164 and 87173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87164 and 87173. First we will calculate the prime factors of 87164 and 87173.

Prime Factorization of 87164

Prime Factorization of 87173

Now multiplying the highest exponent prime factors to calculate the LCM of 87164 and 87173.

LCM(87164,87173) = 2² × 7¹ × 11¹ × 283¹ × 179¹ × 487¹
LCM(87164,87173) = 7598347372