What is the Least Common Multiple of 93120 and 93134?

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 93134 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 93134, than apply into the LCM equation.

GCF(93120,93134) = 2
LCM(93120,93134) = ( 93120 × 93134) / 2
LCM(93120,93134) = 8672638080 / 2
LCM(93120,93134) = 4336319040

Least Common Multiple (LCM) of 93120 and 93134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93120 and 93134. First we will calculate the prime factors of 93120 and 93134.

Prime Factorization of 93120

Prime Factorization of 93134

Now multiplying the highest exponent prime factors to calculate the LCM of 93120 and 93134.

LCM(93120,93134) = 2⁶ × 3¹ × 5¹ × 97¹ × 46567¹
LCM(93120,93134) = 4336319040