What is the Least Common Multiple of 86096 and 86102?

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 86096 and 86102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86096 and 86102, than apply into the LCM equation.

GCF(86096,86102) = 2
LCM(86096,86102) = ( 86096 × 86102) / 2
LCM(86096,86102) = 7413037792 / 2
LCM(86096,86102) = 3706518896

Least Common Multiple (LCM) of 86096 and 86102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86096 and 86102. First we will calculate the prime factors of 86096 and 86102.

Prime Factorization of 86096

Prime Factorization of 86102

Now multiplying the highest exponent prime factors to calculate the LCM of 86096 and 86102.

LCM(86096,86102) = 2⁴ × 5381¹ × 43051¹
LCM(86096,86102) = 3706518896