What is the Least Common Multiple of 26078 and 26096?

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 26078 and 26096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26078 and 26096, than apply into the LCM equation.

GCF(26078,26096) = 2
LCM(26078,26096) = ( 26078 × 26096) / 2
LCM(26078,26096) = 680531488 / 2
LCM(26078,26096) = 340265744

Least Common Multiple (LCM) of 26078 and 26096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26078 and 26096. First we will calculate the prime factors of 26078 and 26096.

Prime Factorization of 26078

Prime Factorization of 26096

Now multiplying the highest exponent prime factors to calculate the LCM of 26078 and 26096.

LCM(26078,26096) = 2⁴ × 13¹ × 17¹ × 59¹ × 7¹ × 233¹
LCM(26078,26096) = 340265744