What is the Least Common Multiple of 16045 and 16065?

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 16045 and 16065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16045 and 16065, than apply into the LCM equation.

GCF(16045,16065) = 5
LCM(16045,16065) = ( 16045 × 16065) / 5
LCM(16045,16065) = 257762925 / 5
LCM(16045,16065) = 51552585

Least Common Multiple (LCM) of 16045 and 16065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16045 and 16065. First we will calculate the prime factors of 16045 and 16065.

Prime Factorization of 16045

Prime Factorization of 16065

Now multiplying the highest exponent prime factors to calculate the LCM of 16045 and 16065.

LCM(16045,16065) = 5¹ × 3209¹ × 3³ × 7¹ × 17¹
LCM(16045,16065) = 51552585