What is the Least Common Multiple of 26923 and 26936?

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 26923 and 26936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26923 and 26936, than apply into the LCM equation.

GCF(26923,26936) = 13
LCM(26923,26936) = ( 26923 × 26936) / 13
LCM(26923,26936) = 725197928 / 13
LCM(26923,26936) = 55784456

Least Common Multiple (LCM) of 26923 and 26936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26923 and 26936. First we will calculate the prime factors of 26923 and 26936.

Prime Factorization of 26923

Prime Factorization of 26936

Now multiplying the highest exponent prime factors to calculate the LCM of 26923 and 26936.

LCM(26923,26936) = 13¹ × 19¹ × 109¹ × 2³ × 7¹ × 37¹
LCM(26923,26936) = 55784456