GCF and LCM Calculator Logo

What is the Least Common Multiple of 65892 and 65908?

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 65892 and 65908 is 1085702484.

LCM(65892,65908) = 1085702484

LCM Calculator and
and

Least Common Multiple of 65892 and 65908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65892 and 65908, than apply into the LCM equation.

GCF(65892,65908) = 4
LCM(65892,65908) = ( 65892 × 65908) / 4
LCM(65892,65908) = 4342809936 / 4
LCM(65892,65908) = 1085702484

Least Common Multiple (LCM) of 65892 and 65908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65892 and 65908. First we will calculate the prime factors of 65892 and 65908.

Prime Factorization of 65892

Prime factors of 65892 are 2, 3, 17, 19. Prime factorization of 65892 in exponential form is:

65892 = 22 × 31 × 172 × 191

Prime Factorization of 65908

Prime factors of 65908 are 2, 16477. Prime factorization of 65908 in exponential form is:

65908 = 22 × 164771

Now multiplying the highest exponent prime factors to calculate the LCM of 65892 and 65908.

LCM(65892,65908) = 22 × 31 × 172 × 191 × 164771
LCM(65892,65908) = 1085702484