What is the Least Common Multiple of 84754 and 84769?

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 84754 and 84769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84754 and 84769, than apply into the LCM equation.

GCF(84754,84769) = 1
LCM(84754,84769) = ( 84754 × 84769) / 1
LCM(84754,84769) = 7184511826 / 1
LCM(84754,84769) = 7184511826

Least Common Multiple (LCM) of 84754 and 84769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84754 and 84769. First we will calculate the prime factors of 84754 and 84769.

Prime Factorization of 84754

Prime Factorization of 84769

Now multiplying the highest exponent prime factors to calculate the LCM of 84754 and 84769.

LCM(84754,84769) = 2¹ × 31¹ × 1367¹ × 103¹ × 823¹
LCM(84754,84769) = 7184511826