What is the Least Common Multiple of 26936 and 26949?

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 26936 and 26949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26936 and 26949, than apply into the LCM equation.

GCF(26936,26949) = 13
LCM(26936,26949) = ( 26936 × 26949) / 13
LCM(26936,26949) = 725898264 / 13
LCM(26936,26949) = 55838328

Least Common Multiple (LCM) of 26936 and 26949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26936 and 26949. First we will calculate the prime factors of 26936 and 26949.

Prime Factorization of 26936

Prime Factorization of 26949

Now multiplying the highest exponent prime factors to calculate the LCM of 26936 and 26949.

LCM(26936,26949) = 2³ × 7¹ × 13¹ × 37¹ × 3¹ × 691¹
LCM(26936,26949) = 55838328