What is the Least Common Multiple of 26904 and 26919?

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 26904 and 26919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26904 and 26919, than apply into the LCM equation.

GCF(26904,26919) = 3
LCM(26904,26919) = ( 26904 × 26919) / 3
LCM(26904,26919) = 724228776 / 3
LCM(26904,26919) = 241409592

Least Common Multiple (LCM) of 26904 and 26919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26904 and 26919. First we will calculate the prime factors of 26904 and 26919.

Prime Factorization of 26904

Prime Factorization of 26919

Now multiplying the highest exponent prime factors to calculate the LCM of 26904 and 26919.

LCM(26904,26919) = 2³ × 3³ × 19¹ × 59¹ × 997¹
LCM(26904,26919) = 241409592