What is the Least Common Multiple of 84517 and 84533?

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 84517 and 84533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84517 and 84533, than apply into the LCM equation.

GCF(84517,84533) = 1
LCM(84517,84533) = ( 84517 × 84533) / 1
LCM(84517,84533) = 7144475561 / 1
LCM(84517,84533) = 7144475561

Least Common Multiple (LCM) of 84517 and 84533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84517 and 84533. First we will calculate the prime factors of 84517 and 84533.

Prime Factorization of 84517

Prime Factorization of 84533

Now multiplying the highest exponent prime factors to calculate the LCM of 84517 and 84533.

LCM(84517,84533) = 223¹ × 379¹ × 84533¹
LCM(84517,84533) = 7144475561