What is the Least Common Multiple of 84784 and 84791?

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 84784 and 84791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84784 and 84791, than apply into the LCM equation.

GCF(84784,84791) = 7
LCM(84784,84791) = ( 84784 × 84791) / 7
LCM(84784,84791) = 7188920144 / 7
LCM(84784,84791) = 1026988592

Least Common Multiple (LCM) of 84784 and 84791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84784 and 84791. First we will calculate the prime factors of 84784 and 84791.

Prime Factorization of 84784

Prime Factorization of 84791

Now multiplying the highest exponent prime factors to calculate the LCM of 84784 and 84791.

LCM(84784,84791) = 2⁴ × 7¹ × 757¹ × 12113¹
LCM(84784,84791) = 1026988592