What is the Least Common Multiple of 86126 and 86138?

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 86126 and 86138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86126 and 86138, than apply into the LCM equation.

GCF(86126,86138) = 2
LCM(86126,86138) = ( 86126 × 86138) / 2
LCM(86126,86138) = 7418721388 / 2
LCM(86126,86138) = 3709360694

Least Common Multiple (LCM) of 86126 and 86138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86126 and 86138. First we will calculate the prime factors of 86126 and 86138.

Prime Factorization of 86126

Prime Factorization of 86138

Now multiplying the highest exponent prime factors to calculate the LCM of 86126 and 86138.

LCM(86126,86138) = 2¹ × 43063¹ × 13¹ × 3313¹
LCM(86126,86138) = 3709360694