What is the Least Common Multiple of 84546 and 84552?

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 84546 and 84552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84546 and 84552, than apply into the LCM equation.

GCF(84546,84552) = 6
LCM(84546,84552) = ( 84546 × 84552) / 6
LCM(84546,84552) = 7148533392 / 6
LCM(84546,84552) = 1191422232

Least Common Multiple (LCM) of 84546 and 84552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84546 and 84552. First we will calculate the prime factors of 84546 and 84552.

Prime Factorization of 84546

Prime Factorization of 84552

Now multiplying the highest exponent prime factors to calculate the LCM of 84546 and 84552.

LCM(84546,84552) = 2³ × 3² × 7¹ × 11¹ × 61¹ × 13¹ × 271¹
LCM(84546,84552) = 1191422232