What is the Least Common Multiple of 83565 and 83578?

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 83565 and 83578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83565 and 83578, than apply into the LCM equation.

GCF(83565,83578) = 1
LCM(83565,83578) = ( 83565 × 83578) / 1
LCM(83565,83578) = 6984195570 / 1
LCM(83565,83578) = 6984195570

Least Common Multiple (LCM) of 83565 and 83578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83565 and 83578. First we will calculate the prime factors of 83565 and 83578.

Prime Factorization of 83565

Prime Factorization of 83578

Now multiplying the highest exponent prime factors to calculate the LCM of 83565 and 83578.

LCM(83565,83578) = 3³ × 5¹ × 619¹ × 2¹ × 11¹ × 29¹ × 131¹
LCM(83565,83578) = 6984195570