What is the Least Common Multiple of 5920 and 5935?

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 5935 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 5935, than apply into the LCM equation.

GCF(5920,5935) = 5
LCM(5920,5935) = ( 5920 × 5935) / 5
LCM(5920,5935) = 35135200 / 5
LCM(5920,5935) = 7027040

Least Common Multiple (LCM) of 5920 and 5935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5920 and 5935. First we will calculate the prime factors of 5920 and 5935.

Prime Factorization of 5920

Prime Factorization of 5935

Now multiplying the highest exponent prime factors to calculate the LCM of 5920 and 5935.

LCM(5920,5935) = 2⁵ × 5¹ × 37¹ × 1187¹
LCM(5920,5935) = 7027040