What is the Least Common Multiple of 79254 and 79258?

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 79254 and 79258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79254 and 79258, than apply into the LCM equation.

GCF(79254,79258) = 2
LCM(79254,79258) = ( 79254 × 79258) / 2
LCM(79254,79258) = 6281513532 / 2
LCM(79254,79258) = 3140756766

Least Common Multiple (LCM) of 79254 and 79258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79254 and 79258. First we will calculate the prime factors of 79254 and 79258.

Prime Factorization of 79254

Prime Factorization of 79258

Now multiplying the highest exponent prime factors to calculate the LCM of 79254 and 79258.

LCM(79254,79258) = 2¹ × 3² × 7¹ × 17¹ × 37¹ × 23¹ × 1723¹
LCM(79254,79258) = 3140756766