What is the Least Common Multiple of 84876 and 84896?

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 84876 and 84896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84876 and 84896, than apply into the LCM equation.

GCF(84876,84896) = 4
LCM(84876,84896) = ( 84876 × 84896) / 4
LCM(84876,84896) = 7205632896 / 4
LCM(84876,84896) = 1801408224

Least Common Multiple (LCM) of 84876 and 84896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84876 and 84896. First we will calculate the prime factors of 84876 and 84896.

Prime Factorization of 84876

Prime Factorization of 84896

Now multiplying the highest exponent prime factors to calculate the LCM of 84876 and 84896.

LCM(84876,84896) = 2⁵ × 3¹ × 11¹ × 643¹ × 7¹ × 379¹
LCM(84876,84896) = 1801408224