What is the Least Common Multiple of 39258 and 39278?

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 39258 and 39278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39258 and 39278, than apply into the LCM equation.

GCF(39258,39278) = 2
LCM(39258,39278) = ( 39258 × 39278) / 2
LCM(39258,39278) = 1541975724 / 2
LCM(39258,39278) = 770987862

Least Common Multiple (LCM) of 39258 and 39278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39258 and 39278. First we will calculate the prime factors of 39258 and 39278.

Prime Factorization of 39258

Prime Factorization of 39278

Now multiplying the highest exponent prime factors to calculate the LCM of 39258 and 39278.

LCM(39258,39278) = 2¹ × 3³ × 727¹ × 41¹ × 479¹
LCM(39258,39278) = 770987862