What is the Least Common Multiple of 84914 and 84933?

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 84914 and 84933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84914 and 84933, than apply into the LCM equation.

GCF(84914,84933) = 1
LCM(84914,84933) = ( 84914 × 84933) / 1
LCM(84914,84933) = 7212000762 / 1
LCM(84914,84933) = 7212000762

Least Common Multiple (LCM) of 84914 and 84933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84914 and 84933. First we will calculate the prime factors of 84914 and 84933.

Prime Factorization of 84914

Prime Factorization of 84933

Now multiplying the highest exponent prime factors to calculate the LCM of 84914 and 84933.

LCM(84914,84933) = 2¹ × 42457¹ × 3² × 9437¹
LCM(84914,84933) = 7212000762