What is the Least Common Multiple of 39246 and 39258?

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 39246 and 39258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39246 and 39258, than apply into the LCM equation.

GCF(39246,39258) = 6
LCM(39246,39258) = ( 39246 × 39258) / 6
LCM(39246,39258) = 1540719468 / 6
LCM(39246,39258) = 256786578

Least Common Multiple (LCM) of 39246 and 39258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39246 and 39258. First we will calculate the prime factors of 39246 and 39258.

Prime Factorization of 39246

Prime Factorization of 39258

Now multiplying the highest exponent prime factors to calculate the LCM of 39246 and 39258.

LCM(39246,39258) = 2¹ × 3³ × 31¹ × 211¹ × 727¹
LCM(39246,39258) = 256786578