What is the Least Common Multiple of 30160 and 30173?

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 30160 and 30173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30160 and 30173, than apply into the LCM equation.

GCF(30160,30173) = 13
LCM(30160,30173) = ( 30160 × 30173) / 13
LCM(30160,30173) = 910017680 / 13
LCM(30160,30173) = 70001360

Least Common Multiple (LCM) of 30160 and 30173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30160 and 30173. First we will calculate the prime factors of 30160 and 30173.

Prime Factorization of 30160

Prime Factorization of 30173

Now multiplying the highest exponent prime factors to calculate the LCM of 30160 and 30173.

LCM(30160,30173) = 2⁴ × 5¹ × 13¹ × 29¹ × 11¹ × 211¹
LCM(30160,30173) = 70001360