What is the Least Common Multiple of 26516 and 26536?

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 26516 and 26536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26516 and 26536, than apply into the LCM equation.

GCF(26516,26536) = 4
LCM(26516,26536) = ( 26516 × 26536) / 4
LCM(26516,26536) = 703628576 / 4
LCM(26516,26536) = 175907144

Least Common Multiple (LCM) of 26516 and 26536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26516 and 26536. First we will calculate the prime factors of 26516 and 26536.

Prime Factorization of 26516

Prime Factorization of 26536

Now multiplying the highest exponent prime factors to calculate the LCM of 26516 and 26536.

LCM(26516,26536) = 2³ × 7¹ × 947¹ × 31¹ × 107¹
LCM(26516,26536) = 175907144