What is the Least Common Multiple of 83546 and 83565?

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 83546 and 83565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83546 and 83565, than apply into the LCM equation.

GCF(83546,83565) = 1
LCM(83546,83565) = ( 83546 × 83565) / 1
LCM(83546,83565) = 6981521490 / 1
LCM(83546,83565) = 6981521490

Least Common Multiple (LCM) of 83546 and 83565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83546 and 83565. First we will calculate the prime factors of 83546 and 83565.

Prime Factorization of 83546

Prime Factorization of 83565

Now multiplying the highest exponent prime factors to calculate the LCM of 83546 and 83565.

LCM(83546,83565) = 2¹ × 37¹ × 1129¹ × 3³ × 5¹ × 619¹
LCM(83546,83565) = 6981521490