What is the Least Common Multiple of 86104 and 86121?

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 86104 and 86121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86104 and 86121, than apply into the LCM equation.

GCF(86104,86121) = 1
LCM(86104,86121) = ( 86104 × 86121) / 1
LCM(86104,86121) = 7415362584 / 1
LCM(86104,86121) = 7415362584

Least Common Multiple (LCM) of 86104 and 86121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86104 and 86121. First we will calculate the prime factors of 86104 and 86121.

Prime Factorization of 86104

Prime Factorization of 86121

Now multiplying the highest exponent prime factors to calculate the LCM of 86104 and 86121.

LCM(86104,86121) = 2³ × 47¹ × 229¹ × 3² × 7¹ × 1367¹
LCM(86104,86121) = 7415362584