What is the Least Common Multiple of 84744 and 84754?

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 84744 and 84754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84744 and 84754, than apply into the LCM equation.

GCF(84744,84754) = 2
LCM(84744,84754) = ( 84744 × 84754) / 2
LCM(84744,84754) = 7182392976 / 2
LCM(84744,84754) = 3591196488

Least Common Multiple (LCM) of 84744 and 84754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84744 and 84754. First we will calculate the prime factors of 84744 and 84754.

Prime Factorization of 84744

Prime Factorization of 84754

Now multiplying the highest exponent prime factors to calculate the LCM of 84744 and 84754.

LCM(84744,84754) = 2³ × 3² × 11¹ × 107¹ × 31¹ × 1367¹
LCM(84744,84754) = 3591196488