What is the Least Common Multiple of 4512 and 4522?

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 4512 and 4522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4512 and 4522, than apply into the LCM equation.

GCF(4512,4522) = 2
LCM(4512,4522) = ( 4512 × 4522) / 2
LCM(4512,4522) = 20403264 / 2
LCM(4512,4522) = 10201632

Least Common Multiple (LCM) of 4512 and 4522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4512 and 4522. First we will calculate the prime factors of 4512 and 4522.

Prime Factorization of 4512

Prime Factorization of 4522

Now multiplying the highest exponent prime factors to calculate the LCM of 4512 and 4522.

LCM(4512,4522) = 2⁵ × 3¹ × 47¹ × 7¹ × 17¹ × 19¹
LCM(4512,4522) = 10201632