What is the Least Common Multiple of 4840 and 4855?

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 4840 and 4855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4840 and 4855, than apply into the LCM equation.

GCF(4840,4855) = 5
LCM(4840,4855) = ( 4840 × 4855) / 5
LCM(4840,4855) = 23498200 / 5
LCM(4840,4855) = 4699640

Least Common Multiple (LCM) of 4840 and 4855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4840 and 4855. First we will calculate the prime factors of 4840 and 4855.

Prime Factorization of 4840

Prime Factorization of 4855

Now multiplying the highest exponent prime factors to calculate the LCM of 4840 and 4855.

LCM(4840,4855) = 2³ × 5¹ × 11² × 971¹
LCM(4840,4855) = 4699640