What is the Least Common Multiple of 84553 and 84567?

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 84553 and 84567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84553 and 84567, than apply into the LCM equation.

GCF(84553,84567) = 7
LCM(84553,84567) = ( 84553 × 84567) / 7
LCM(84553,84567) = 7150393551 / 7
LCM(84553,84567) = 1021484793

Least Common Multiple (LCM) of 84553 and 84567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84553 and 84567. First we will calculate the prime factors of 84553 and 84567.

Prime Factorization of 84553

Prime Factorization of 84567

Now multiplying the highest exponent prime factors to calculate the LCM of 84553 and 84567.

LCM(84553,84567) = 7¹ × 47¹ × 257¹ × 3¹ × 4027¹
LCM(84553,84567) = 1021484793