What is the Least Common Multiple of 83564 and 83569?

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 83564 and 83569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83564 and 83569, than apply into the LCM equation.

GCF(83564,83569) = 1
LCM(83564,83569) = ( 83564 × 83569) / 1
LCM(83564,83569) = 6983359916 / 1
LCM(83564,83569) = 6983359916

Least Common Multiple (LCM) of 83564 and 83569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83564 and 83569. First we will calculate the prime factors of 83564 and 83569.

Prime Factorization of 83564

Prime Factorization of 83569

Now multiplying the highest exponent prime factors to calculate the LCM of 83564 and 83569.

LCM(83564,83569) = 2² × 13¹ × 1607¹ × 193¹ × 433¹
LCM(83564,83569) = 6983359916