What is the Least Common Multiple of 84540 and 84546?

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 84540 and 84546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84540 and 84546, than apply into the LCM equation.

GCF(84540,84546) = 6
LCM(84540,84546) = ( 84540 × 84546) / 6
LCM(84540,84546) = 7147518840 / 6
LCM(84540,84546) = 1191253140

Least Common Multiple (LCM) of 84540 and 84546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84540 and 84546. First we will calculate the prime factors of 84540 and 84546.

Prime Factorization of 84540

Prime Factorization of 84546

Now multiplying the highest exponent prime factors to calculate the LCM of 84540 and 84546.

LCM(84540,84546) = 2² × 3² × 5¹ × 1409¹ × 7¹ × 11¹ × 61¹
LCM(84540,84546) = 1191253140