What is the Least Common Multiple of 5920 and 5936?

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 5920 and 5936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5920 and 5936, than apply into the LCM equation.

GCF(5920,5936) = 16
LCM(5920,5936) = ( 5920 × 5936) / 16
LCM(5920,5936) = 35141120 / 16
LCM(5920,5936) = 2196320

Least Common Multiple (LCM) of 5920 and 5936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5936. First we will calculate the prime factors of 5920 and 5936.

Prime Factorization of 5920

Prime Factorization of 5936

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5936.

LCM(5920,5936) = 2⁵ × 5¹ × 37¹ × 7¹ × 53¹
LCM(5920,5936) = 2196320