What is the Least Common Multiple of 87140 and 87155?

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 87140 and 87155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87140 and 87155, than apply into the LCM equation.

GCF(87140,87155) = 5
LCM(87140,87155) = ( 87140 × 87155) / 5
LCM(87140,87155) = 7594686700 / 5
LCM(87140,87155) = 1518937340

Least Common Multiple (LCM) of 87140 and 87155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87140 and 87155. First we will calculate the prime factors of 87140 and 87155.

Prime Factorization of 87140

Prime Factorization of 87155

Now multiplying the highest exponent prime factors to calculate the LCM of 87140 and 87155.

LCM(87140,87155) = 2² × 5¹ × 4357¹ × 17431¹
LCM(87140,87155) = 1518937340