What is the Least Common Multiple of 83688 and 83703?

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 83703 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 83703, than apply into the LCM equation.

GCF(83688,83703) = 3
LCM(83688,83703) = ( 83688 × 83703) / 3
LCM(83688,83703) = 7004936664 / 3
LCM(83688,83703) = 2334978888

Least Common Multiple (LCM) of 83688 and 83703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83688 and 83703. First we will calculate the prime factors of 83688 and 83703.

Prime Factorization of 83688

Prime Factorization of 83703

Now multiplying the highest exponent prime factors to calculate the LCM of 83688 and 83703.

LCM(83688,83703) = 2³ × 3¹ × 11¹ × 317¹ × 27901¹
LCM(83688,83703) = 2334978888