What is the Least Common Multiple of 65145 and 65160?

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 65145 and 65160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65145 and 65160, than apply into the LCM equation.

GCF(65145,65160) = 15
LCM(65145,65160) = ( 65145 × 65160) / 15
LCM(65145,65160) = 4244848200 / 15
LCM(65145,65160) = 282989880

Least Common Multiple (LCM) of 65145 and 65160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65145 and 65160. First we will calculate the prime factors of 65145 and 65160.

Prime Factorization of 65145

Prime Factorization of 65160

Now multiplying the highest exponent prime factors to calculate the LCM of 65145 and 65160.

LCM(65145,65160) = 3² × 5¹ × 43¹ × 101¹ × 2³ × 181¹
LCM(65145,65160) = 282989880