What is the Least Common Multiple of 86134 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 86134 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 86134 and 86138, than apply into the LCM equation.

GCF(86134,86138) = 2
LCM(86134,86138) = ( 86134 × 86138) / 2
LCM(86134,86138) = 7419410492 / 2
LCM(86134,86138) = 3709705246

Least Common Multiple (LCM) of 86134 and 86138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86134 and 86138. First we will calculate the prime factors of 86134 and 86138.

Prime Factorization of 86134

Prime Factorization of 86138

Now multiplying the highest exponent prime factors to calculate the LCM of 86134 and 86138.

LCM(86134,86138) = 2¹ × 43067¹ × 13¹ × 3313¹
LCM(86134,86138) = 3709705246