What is the Least Common Multiple of 71688 and 71699?

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 71688 and 71699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71688 and 71699, than apply into the LCM equation.

GCF(71688,71699) = 1
LCM(71688,71699) = ( 71688 × 71699) / 1
LCM(71688,71699) = 5139957912 / 1
LCM(71688,71699) = 5139957912

Least Common Multiple (LCM) of 71688 and 71699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71688 and 71699. First we will calculate the prime factors of 71688 and 71699.

Prime Factorization of 71688

Prime Factorization of 71699

Now multiplying the highest exponent prime factors to calculate the LCM of 71688 and 71699.

LCM(71688,71699) = 2³ × 3¹ × 29¹ × 103¹ × 71699¹
LCM(71688,71699) = 5139957912