What is the Least Common Multiple of 83688 and 83695?

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 83688 and 83695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83688 and 83695, than apply into the LCM equation.

GCF(83688,83695) = 1
LCM(83688,83695) = ( 83688 × 83695) / 1
LCM(83688,83695) = 7004267160 / 1
LCM(83688,83695) = 7004267160

Least Common Multiple (LCM) of 83688 and 83695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83688 and 83695. First we will calculate the prime factors of 83688 and 83695.

Prime Factorization of 83688

Prime Factorization of 83695

Now multiplying the highest exponent prime factors to calculate the LCM of 83688 and 83695.

LCM(83688,83695) = 2³ × 3¹ × 11¹ × 317¹ × 5¹ × 19¹ × 881¹
LCM(83688,83695) = 7004267160