What is the Least Common Multiple of 93126 and 93139?

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 93126 and 93139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93126 and 93139, than apply into the LCM equation.

GCF(93126,93139) = 1
LCM(93126,93139) = ( 93126 × 93139) / 1
LCM(93126,93139) = 8673662514 / 1
LCM(93126,93139) = 8673662514

Least Common Multiple (LCM) of 93126 and 93139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93126 and 93139. First we will calculate the prime factors of 93126 and 93139.

Prime Factorization of 93126

Prime Factorization of 93139

Now multiplying the highest exponent prime factors to calculate the LCM of 93126 and 93139.

LCM(93126,93139) = 2¹ × 3¹ × 11¹ × 17¹ × 83¹ × 93139¹
LCM(93126,93139) = 8673662514