What is the Least Common Multiple of 26096 and 26102?

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 26096 and 26102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26096 and 26102, than apply into the LCM equation.

GCF(26096,26102) = 2
LCM(26096,26102) = ( 26096 × 26102) / 2
LCM(26096,26102) = 681157792 / 2
LCM(26096,26102) = 340578896

Least Common Multiple (LCM) of 26096 and 26102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26096 and 26102. First we will calculate the prime factors of 26096 and 26102.

Prime Factorization of 26096

Prime Factorization of 26102

Now multiplying the highest exponent prime factors to calculate the LCM of 26096 and 26102.

LCM(26096,26102) = 2⁴ × 7¹ × 233¹ × 31¹ × 421¹
LCM(26096,26102) = 340578896