What is the Least Common Multiple of 5936 and 5954?

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 5936 and 5954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5936 and 5954, than apply into the LCM equation.

GCF(5936,5954) = 2
LCM(5936,5954) = ( 5936 × 5954) / 2
LCM(5936,5954) = 35342944 / 2
LCM(5936,5954) = 17671472

Least Common Multiple (LCM) of 5936 and 5954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5936 and 5954. First we will calculate the prime factors of 5936 and 5954.

Prime Factorization of 5936

Prime Factorization of 5954

Now multiplying the highest exponent prime factors to calculate the LCM of 5936 and 5954.

LCM(5936,5954) = 2⁴ × 7¹ × 53¹ × 13¹ × 229¹
LCM(5936,5954) = 17671472