What is the Least Common Multiple of 84744 and 84758?

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 84758 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 84758, than apply into the LCM equation.

GCF(84744,84758) = 2
LCM(84744,84758) = ( 84744 × 84758) / 2
LCM(84744,84758) = 7182731952 / 2
LCM(84744,84758) = 3591365976

Least Common Multiple (LCM) of 84744 and 84758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84744 and 84758. First we will calculate the prime factors of 84744 and 84758.

Prime Factorization of 84744

Prime Factorization of 84758

Now multiplying the highest exponent prime factors to calculate the LCM of 84744 and 84758.

LCM(84744,84758) = 2³ × 3² × 11¹ × 107¹ × 42379¹
LCM(84744,84758) = 3591365976