What is the Least Common Multiple of 84880 and 84894?

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 84880 and 84894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84880 and 84894, than apply into the LCM equation.

GCF(84880,84894) = 2
LCM(84880,84894) = ( 84880 × 84894) / 2
LCM(84880,84894) = 7205802720 / 2
LCM(84880,84894) = 3602901360

Least Common Multiple (LCM) of 84880 and 84894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84880 and 84894. First we will calculate the prime factors of 84880 and 84894.

Prime Factorization of 84880

Prime Factorization of 84894

Now multiplying the highest exponent prime factors to calculate the LCM of 84880 and 84894.

LCM(84880,84894) = 2⁴ × 5¹ × 1061¹ × 3¹ × 14149¹
LCM(84880,84894) = 3602901360