What is the Least Common Multiple of 4535 and 4555?

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 4535 and 4555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4535 and 4555, than apply into the LCM equation.

GCF(4535,4555) = 5
LCM(4535,4555) = ( 4535 × 4555) / 5
LCM(4535,4555) = 20656925 / 5
LCM(4535,4555) = 4131385

Least Common Multiple (LCM) of 4535 and 4555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4535 and 4555. First we will calculate the prime factors of 4535 and 4555.

Prime Factorization of 4535

Prime Factorization of 4555

Now multiplying the highest exponent prime factors to calculate the LCM of 4535 and 4555.

LCM(4535,4555) = 5¹ × 907¹ × 911¹
LCM(4535,4555) = 4131385