What is the Least Common Multiple of 86104 and 86122?

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 86122 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 86122, than apply into the LCM equation.

GCF(86104,86122) = 2
LCM(86104,86122) = ( 86104 × 86122) / 2
LCM(86104,86122) = 7415448688 / 2
LCM(86104,86122) = 3707724344

Least Common Multiple (LCM) of 86104 and 86122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86104 and 86122. First we will calculate the prime factors of 86104 and 86122.

Prime Factorization of 86104

Prime Factorization of 86122

Now multiplying the highest exponent prime factors to calculate the LCM of 86104 and 86122.

LCM(86104,86122) = 2³ × 47¹ × 229¹ × 17² × 149¹
LCM(86104,86122) = 3707724344