GCF and LCM Calculator Logo

What is the Least Common Multiple of 65950 and 65961?

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 65950 and 65961 is 4350127950.

LCM(65950,65961) = 4350127950

LCM Calculator and
and

Least Common Multiple of 65950 and 65961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65950 and 65961, than apply into the LCM equation.

GCF(65950,65961) = 1
LCM(65950,65961) = ( 65950 × 65961) / 1
LCM(65950,65961) = 4350127950 / 1
LCM(65950,65961) = 4350127950

Least Common Multiple (LCM) of 65950 and 65961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65950 and 65961. First we will calculate the prime factors of 65950 and 65961.

Prime Factorization of 65950

Prime factors of 65950 are 2, 5, 1319. Prime factorization of 65950 in exponential form is:

65950 = 21 × 52 × 13191

Prime Factorization of 65961

Prime factors of 65961 are 3, 7, 349. Prime factorization of 65961 in exponential form is:

65961 = 33 × 71 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 65950 and 65961.

LCM(65950,65961) = 21 × 52 × 13191 × 33 × 71 × 3491
LCM(65950,65961) = 4350127950