What is the Least Common Multiple of 4506 and 4519?

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 4519 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 4519, than apply into the LCM equation.

GCF(4506,4519) = 1
LCM(4506,4519) = ( 4506 × 4519) / 1
LCM(4506,4519) = 20362614 / 1
LCM(4506,4519) = 20362614

Least Common Multiple (LCM) of 4506 and 4519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4506 and 4519. First we will calculate the prime factors of 4506 and 4519.

Prime Factorization of 4506

Prime Factorization of 4519

Now multiplying the highest exponent prime factors to calculate the LCM of 4506 and 4519.

LCM(4506,4519) = 2¹ × 3¹ × 751¹ × 4519¹
LCM(4506,4519) = 20362614