What is the Least Common Multiple of 4517 and 4536?

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 4517 and 4536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4517 and 4536, than apply into the LCM equation.

GCF(4517,4536) = 1
LCM(4517,4536) = ( 4517 × 4536) / 1
LCM(4517,4536) = 20489112 / 1
LCM(4517,4536) = 20489112

Least Common Multiple (LCM) of 4517 and 4536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4517 and 4536. First we will calculate the prime factors of 4517 and 4536.

Prime Factorization of 4517

Prime Factorization of 4536

Now multiplying the highest exponent prime factors to calculate the LCM of 4517 and 4536.

LCM(4517,4536) = 4517¹ × 2³ × 3⁴ × 7¹
LCM(4517,4536) = 20489112