GCF and LCM Calculator Logo

What is the Least Common Multiple of 65780 and 65795?

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 (LCM) of 65780 and 65795 is 865599020.

LCM(65780,65795) = 865599020

LCM Calculator and
and

Least Common Multiple of 65780 and 65795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65780 and 65795, than apply into the LCM equation.

GCF(65780,65795) = 5
LCM(65780,65795) = ( 65780 × 65795) / 5
LCM(65780,65795) = 4327995100 / 5
LCM(65780,65795) = 865599020

Least Common Multiple (LCM) of 65780 and 65795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65780 and 65795. First we will calculate the prime factors of 65780 and 65795.

Prime Factorization of 65780

Prime factors of 65780 are 2, 5, 11, 13, 23. Prime factorization of 65780 in exponential form is:

65780 = 22 × 51 × 111 × 131 × 231

Prime Factorization of 65795

Prime factors of 65795 are 5, 13159. Prime factorization of 65795 in exponential form is:

65795 = 51 × 131591

Now multiplying the highest exponent prime factors to calculate the LCM of 65780 and 65795.

LCM(65780,65795) = 22 × 51 × 111 × 131 × 231 × 131591
LCM(65780,65795) = 865599020