What is the Least Common Multiple of 26338 and 26356?

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 26338 and 26356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26338 and 26356, than apply into the LCM equation.

GCF(26338,26356) = 2
LCM(26338,26356) = ( 26338 × 26356) / 2
LCM(26338,26356) = 694164328 / 2
LCM(26338,26356) = 347082164

Least Common Multiple (LCM) of 26338 and 26356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26338 and 26356. First we will calculate the prime factors of 26338 and 26356.

Prime Factorization of 26338

Prime Factorization of 26356

Now multiplying the highest exponent prime factors to calculate the LCM of 26338 and 26356.

LCM(26338,26356) = 2² × 13¹ × 1013¹ × 11¹ × 599¹
LCM(26338,26356) = 347082164