What is the Least Common Multiple of 32513 and 32533?

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 32513 and 32533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32513 and 32533, than apply into the LCM equation.

GCF(32513,32533) = 1
LCM(32513,32533) = ( 32513 × 32533) / 1
LCM(32513,32533) = 1057745429 / 1
LCM(32513,32533) = 1057745429

Least Common Multiple (LCM) of 32513 and 32533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32513 and 32533. First we will calculate the prime factors of 32513 and 32533.

Prime Factorization of 32513

Prime Factorization of 32533

Now multiplying the highest exponent prime factors to calculate the LCM of 32513 and 32533.

LCM(32513,32533) = 13¹ × 41¹ × 61¹ × 32533¹
LCM(32513,32533) = 1057745429