GCF and LCM Calculator Logo

What is the Least Common Multiple of 65632 and 65641?

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 65632 and 65641 is 4308150112.

LCM(65632,65641) = 4308150112

LCM Calculator and
and

Least Common Multiple of 65632 and 65641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65632 and 65641, than apply into the LCM equation.

GCF(65632,65641) = 1
LCM(65632,65641) = ( 65632 × 65641) / 1
LCM(65632,65641) = 4308150112 / 1
LCM(65632,65641) = 4308150112

Least Common Multiple (LCM) of 65632 and 65641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65632 and 65641. First we will calculate the prime factors of 65632 and 65641.

Prime Factorization of 65632

Prime factors of 65632 are 2, 7, 293. Prime factorization of 65632 in exponential form is:

65632 = 25 × 71 × 2931

Prime Factorization of 65641

Prime factors of 65641 are 41, 1601. Prime factorization of 65641 in exponential form is:

65641 = 411 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 65632 and 65641.

LCM(65632,65641) = 25 × 71 × 2931 × 411 × 16011
LCM(65632,65641) = 4308150112