What is the Least Common Multiple of 84446 and 84459?

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 84446 and 84459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84446 and 84459, than apply into the LCM equation.

GCF(84446,84459) = 1
LCM(84446,84459) = ( 84446 × 84459) / 1
LCM(84446,84459) = 7132224714 / 1
LCM(84446,84459) = 7132224714

Least Common Multiple (LCM) of 84446 and 84459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84446 and 84459. First we will calculate the prime factors of 84446 and 84459.

Prime Factorization of 84446

Prime Factorization of 84459

Now multiplying the highest exponent prime factors to calculate the LCM of 84446 and 84459.

LCM(84446,84459) = 2¹ × 42223¹ × 3¹ × 47¹ × 599¹
LCM(84446,84459) = 7132224714