What is the Least Common Multiple of 26944 and 26964?

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 26944 and 26964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26944 and 26964, than apply into the LCM equation.

GCF(26944,26964) = 4
LCM(26944,26964) = ( 26944 × 26964) / 4
LCM(26944,26964) = 726518016 / 4
LCM(26944,26964) = 181629504

Least Common Multiple (LCM) of 26944 and 26964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26944 and 26964. First we will calculate the prime factors of 26944 and 26964.

Prime Factorization of 26944

Prime Factorization of 26964

Now multiplying the highest exponent prime factors to calculate the LCM of 26944 and 26964.

LCM(26944,26964) = 2⁶ × 421¹ × 3² × 7¹ × 107¹
LCM(26944,26964) = 181629504