What is the Least Common Multiple of 26696 and 26706?

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 26696 and 26706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26696 and 26706, than apply into the LCM equation.

GCF(26696,26706) = 2
LCM(26696,26706) = ( 26696 × 26706) / 2
LCM(26696,26706) = 712943376 / 2
LCM(26696,26706) = 356471688

Least Common Multiple (LCM) of 26696 and 26706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26696 and 26706. First we will calculate the prime factors of 26696 and 26706.

Prime Factorization of 26696

Prime Factorization of 26706

Now multiplying the highest exponent prime factors to calculate the LCM of 26696 and 26706.

LCM(26696,26706) = 2³ × 47¹ × 71¹ × 3¹ × 4451¹
LCM(26696,26706) = 356471688