What is the Least Common Multiple of 84476 and 84492?

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 84476 and 84492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84476 and 84492, than apply into the LCM equation.

GCF(84476,84492) = 4
LCM(84476,84492) = ( 84476 × 84492) / 4
LCM(84476,84492) = 7137546192 / 4
LCM(84476,84492) = 1784386548

Least Common Multiple (LCM) of 84476 and 84492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84476 and 84492. First we will calculate the prime factors of 84476 and 84492.

Prime Factorization of 84476

Prime Factorization of 84492

Now multiplying the highest exponent prime factors to calculate the LCM of 84476 and 84492.

LCM(84476,84492) = 2² × 7² × 431¹ × 3² × 2347¹
LCM(84476,84492) = 1784386548