What is the Least Common Multiple of 83548 and 83566?

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 83548 and 83566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83548 and 83566, than apply into the LCM equation.

GCF(83548,83566) = 2
LCM(83548,83566) = ( 83548 × 83566) / 2
LCM(83548,83566) = 6981772168 / 2
LCM(83548,83566) = 3490886084

Least Common Multiple (LCM) of 83548 and 83566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83548 and 83566. First we will calculate the prime factors of 83548 and 83566.

Prime Factorization of 83548

Prime Factorization of 83566

Now multiplying the highest exponent prime factors to calculate the LCM of 83548 and 83566.

LCM(83548,83566) = 2² × 20887¹ × 7¹ × 47¹ × 127¹
LCM(83548,83566) = 3490886084