What is the Least Common Multiple of 79258 and 79264?

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 79258 and 79264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79258 and 79264, than apply into the LCM equation.

GCF(79258,79264) = 2
LCM(79258,79264) = ( 79258 × 79264) / 2
LCM(79258,79264) = 6282306112 / 2
LCM(79258,79264) = 3141153056

Least Common Multiple (LCM) of 79258 and 79264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79258 and 79264. First we will calculate the prime factors of 79258 and 79264.

Prime Factorization of 79258

Prime Factorization of 79264

Now multiplying the highest exponent prime factors to calculate the LCM of 79258 and 79264.

LCM(79258,79264) = 2⁵ × 23¹ × 1723¹ × 2477¹
LCM(79258,79264) = 3141153056