What is the Least Common Multiple of 9513 and 9533?

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 9513 and 9533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9513 and 9533, than apply into the LCM equation.

GCF(9513,9533) = 1
LCM(9513,9533) = ( 9513 × 9533) / 1
LCM(9513,9533) = 90687429 / 1
LCM(9513,9533) = 90687429

Least Common Multiple (LCM) of 9513 and 9533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9513 and 9533. First we will calculate the prime factors of 9513 and 9533.

Prime Factorization of 9513

Prime Factorization of 9533

Now multiplying the highest exponent prime factors to calculate the LCM of 9513 and 9533.

LCM(9513,9533) = 3² × 7¹ × 151¹ × 9533¹
LCM(9513,9533) = 90687429