What is the Least Common Multiple of 5840 and 5855?

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 5840 and 5855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5840 and 5855, than apply into the LCM equation.

GCF(5840,5855) = 5
LCM(5840,5855) = ( 5840 × 5855) / 5
LCM(5840,5855) = 34193200 / 5
LCM(5840,5855) = 6838640

Least Common Multiple (LCM) of 5840 and 5855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5855. First we will calculate the prime factors of 5840 and 5855.

Prime Factorization of 5840

Prime Factorization of 5855

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5855.

LCM(5840,5855) = 2⁴ × 5¹ × 73¹ × 1171¹
LCM(5840,5855) = 6838640