What is the Least Common Multiple of 4514 and 4530?

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 4514 and 4530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4514 and 4530, than apply into the LCM equation.

GCF(4514,4530) = 2
LCM(4514,4530) = ( 4514 × 4530) / 2
LCM(4514,4530) = 20448420 / 2
LCM(4514,4530) = 10224210

Least Common Multiple (LCM) of 4514 and 4530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4514 and 4530. First we will calculate the prime factors of 4514 and 4530.

Prime Factorization of 4514

Prime Factorization of 4530

Now multiplying the highest exponent prime factors to calculate the LCM of 4514 and 4530.

LCM(4514,4530) = 2¹ × 37¹ × 61¹ × 3¹ × 5¹ × 151¹
LCM(4514,4530) = 10224210