What is the Least Common Multiple of 93170 and 93175?

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 93170 and 93175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93170 and 93175, than apply into the LCM equation.

GCF(93170,93175) = 5
LCM(93170,93175) = ( 93170 × 93175) / 5
LCM(93170,93175) = 8681114750 / 5
LCM(93170,93175) = 1736222950

Least Common Multiple (LCM) of 93170 and 93175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93170 and 93175. First we will calculate the prime factors of 93170 and 93175.

Prime Factorization of 93170

Prime Factorization of 93175

Now multiplying the highest exponent prime factors to calculate the LCM of 93170 and 93175.

LCM(93170,93175) = 2¹ × 5² × 7¹ × 11³ × 3727¹
LCM(93170,93175) = 1736222950