What is the Least Common Multiple of 93120 and 93126?

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 93120 and 93126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93120 and 93126, than apply into the LCM equation.

GCF(93120,93126) = 6
LCM(93120,93126) = ( 93120 × 93126) / 6
LCM(93120,93126) = 8671893120 / 6
LCM(93120,93126) = 1445315520

Least Common Multiple (LCM) of 93120 and 93126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93120 and 93126. First we will calculate the prime factors of 93120 and 93126.

Prime Factorization of 93120

Prime Factorization of 93126

Now multiplying the highest exponent prime factors to calculate the LCM of 93120 and 93126.

LCM(93120,93126) = 2⁶ × 3¹ × 5¹ × 97¹ × 11¹ × 17¹ × 83¹
LCM(93120,93126) = 1445315520