What is the Least Common Multiple of 87143 and 87148?

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 87143 and 87148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87143 and 87148, than apply into the LCM equation.

GCF(87143,87148) = 1
LCM(87143,87148) = ( 87143 × 87148) / 1
LCM(87143,87148) = 7594338164 / 1
LCM(87143,87148) = 7594338164

Least Common Multiple (LCM) of 87143 and 87148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87143 and 87148. First we will calculate the prime factors of 87143 and 87148.

Prime Factorization of 87143

Prime Factorization of 87148

Now multiplying the highest exponent prime factors to calculate the LCM of 87143 and 87148.

LCM(87143,87148) = 7¹ × 59¹ × 211¹ × 2² × 21787¹
LCM(87143,87148) = 7594338164