What is the Least Common Multiple of 93120 and 93138?

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 93138 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 93138, than apply into the LCM equation.

GCF(93120,93138) = 6
LCM(93120,93138) = ( 93120 × 93138) / 6
LCM(93120,93138) = 8673010560 / 6
LCM(93120,93138) = 1445501760

Least Common Multiple (LCM) of 93120 and 93138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93120 and 93138. First we will calculate the prime factors of 93120 and 93138.

Prime Factorization of 93120

Prime Factorization of 93138

Now multiplying the highest exponent prime factors to calculate the LCM of 93120 and 93138.

LCM(93120,93138) = 2⁶ × 3¹ × 5¹ × 97¹ × 19² × 43¹
LCM(93120,93138) = 1445501760