What is the Least Common Multiple of 26905 and 26916?

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 26905 and 26916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26905 and 26916, than apply into the LCM equation.

GCF(26905,26916) = 1
LCM(26905,26916) = ( 26905 × 26916) / 1
LCM(26905,26916) = 724174980 / 1
LCM(26905,26916) = 724174980

Least Common Multiple (LCM) of 26905 and 26916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26905 and 26916. First we will calculate the prime factors of 26905 and 26916.

Prime Factorization of 26905

Prime Factorization of 26916

Now multiplying the highest exponent prime factors to calculate the LCM of 26905 and 26916.

LCM(26905,26916) = 5¹ × 5381¹ × 2² × 3¹ × 2243¹
LCM(26905,26916) = 724174980