What is the Least Common Multiple of 93140 and 93155?

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 93140 and 93155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93140 and 93155, than apply into the LCM equation.

GCF(93140,93155) = 5
LCM(93140,93155) = ( 93140 × 93155) / 5
LCM(93140,93155) = 8676456700 / 5
LCM(93140,93155) = 1735291340

Least Common Multiple (LCM) of 93140 and 93155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93140 and 93155. First we will calculate the prime factors of 93140 and 93155.

Prime Factorization of 93140

Prime Factorization of 93155

Now multiplying the highest exponent prime factors to calculate the LCM of 93140 and 93155.

LCM(93140,93155) = 2² × 5¹ × 4657¹ × 31¹ × 601¹
LCM(93140,93155) = 1735291340