GCF and LCM Calculator Logo

What is the Least Common Multiple of 87146 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 (LCM) of 87146 and 87155 is 7595209630.

LCM(87146,87155) = 7595209630

LCM Calculator and
and

Least Common Multiple of 87146 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 87146 and 87155, than apply into the LCM equation.

GCF(87146,87155) = 1
LCM(87146,87155) = ( 87146 × 87155) / 1
LCM(87146,87155) = 7595209630 / 1
LCM(87146,87155) = 7595209630

Least Common Multiple (LCM) of 87146 and 87155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87146 and 87155. First we will calculate the prime factors of 87146 and 87155.

Prime Factorization of 87146

Prime factors of 87146 are 2, 43573. Prime factorization of 87146 in exponential form is:

87146 = 21 × 435731

Prime Factorization of 87155

Prime factors of 87155 are 5, 17431. Prime factorization of 87155 in exponential form is:

87155 = 51 × 174311

Now multiplying the highest exponent prime factors to calculate the LCM of 87146 and 87155.

LCM(87146,87155) = 21 × 435731 × 51 × 174311
LCM(87146,87155) = 7595209630