What is the Least Common Multiple of 26344 and 26354?

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 26344 and 26354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26344 and 26354, than apply into the LCM equation.

GCF(26344,26354) = 2
LCM(26344,26354) = ( 26344 × 26354) / 2
LCM(26344,26354) = 694269776 / 2
LCM(26344,26354) = 347134888

Least Common Multiple (LCM) of 26344 and 26354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26344 and 26354. First we will calculate the prime factors of 26344 and 26354.

Prime Factorization of 26344

Prime Factorization of 26354

Now multiplying the highest exponent prime factors to calculate the LCM of 26344 and 26354.

LCM(26344,26354) = 2³ × 37¹ × 89¹ × 13177¹
LCM(26344,26354) = 347134888