What is the Least Common Multiple of 4510 and 4529?

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 4510 and 4529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4510 and 4529, than apply into the LCM equation.

GCF(4510,4529) = 1
LCM(4510,4529) = ( 4510 × 4529) / 1
LCM(4510,4529) = 20425790 / 1
LCM(4510,4529) = 20425790

Least Common Multiple (LCM) of 4510 and 4529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4510 and 4529. First we will calculate the prime factors of 4510 and 4529.

Prime Factorization of 4510

Prime Factorization of 4529

Now multiplying the highest exponent prime factors to calculate the LCM of 4510 and 4529.

LCM(4510,4529) = 2¹ × 5¹ × 11¹ × 41¹ × 7¹ × 647¹
LCM(4510,4529) = 20425790