What is the Least Common Multiple of 84880 and 84897?

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 84897 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 84897, than apply into the LCM equation.

GCF(84880,84897) = 1
LCM(84880,84897) = ( 84880 × 84897) / 1
LCM(84880,84897) = 7206057360 / 1
LCM(84880,84897) = 7206057360

Least Common Multiple (LCM) of 84880 and 84897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84880 and 84897. First we will calculate the prime factors of 84880 and 84897.

Prime Factorization of 84880

Prime Factorization of 84897

Now multiplying the highest exponent prime factors to calculate the LCM of 84880 and 84897.

LCM(84880,84897) = 2⁴ × 5¹ × 1061¹ × 3² × 9433¹
LCM(84880,84897) = 7206057360