What is the Least Common Multiple of 26356 and 26376?

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 26356 and 26376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26356 and 26376, than apply into the LCM equation.

GCF(26356,26376) = 4
LCM(26356,26376) = ( 26356 × 26376) / 4
LCM(26356,26376) = 695165856 / 4
LCM(26356,26376) = 173791464

Least Common Multiple (LCM) of 26356 and 26376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26356 and 26376. First we will calculate the prime factors of 26356 and 26376.

Prime Factorization of 26356

Prime Factorization of 26376

Now multiplying the highest exponent prime factors to calculate the LCM of 26356 and 26376.

LCM(26356,26376) = 2³ × 11¹ × 599¹ × 3¹ × 7¹ × 157¹
LCM(26356,26376) = 173791464