What is the Least Common Multiple of 4506 and 4514?

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 4506 and 4514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4506 and 4514, than apply into the LCM equation.

GCF(4506,4514) = 2
LCM(4506,4514) = ( 4506 × 4514) / 2
LCM(4506,4514) = 20340084 / 2
LCM(4506,4514) = 10170042

Least Common Multiple (LCM) of 4506 and 4514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4514. First we will calculate the prime factors of 4506 and 4514.

Prime Factorization of 4506

Prime Factorization of 4514

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4514.

LCM(4506,4514) = 2¹ × 3¹ × 751¹ × 37¹ × 61¹
LCM(4506,4514) = 10170042