What is the Least Common Multiple of 16160 and 16175?

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 16160 and 16175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16160 and 16175, than apply into the LCM equation.

GCF(16160,16175) = 5
LCM(16160,16175) = ( 16160 × 16175) / 5
LCM(16160,16175) = 261388000 / 5
LCM(16160,16175) = 52277600

Least Common Multiple (LCM) of 16160 and 16175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16160 and 16175. First we will calculate the prime factors of 16160 and 16175.

Prime Factorization of 16160

Prime Factorization of 16175

Now multiplying the highest exponent prime factors to calculate the LCM of 16160 and 16175.

LCM(16160,16175) = 2⁵ × 5² × 101¹ × 647¹
LCM(16160,16175) = 52277600