GCF and LCM Calculator Logo

What is the Least Common Multiple of 65950 and 65958?

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 65958 is 2174965050.

LCM(65950,65958) = 2174965050

LCM Calculator and
and

Least Common Multiple of 65950 and 65958 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 65958, than apply into the LCM equation.

GCF(65950,65958) = 2
LCM(65950,65958) = ( 65950 × 65958) / 2
LCM(65950,65958) = 4349930100 / 2
LCM(65950,65958) = 2174965050

Least Common Multiple (LCM) of 65950 and 65958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65950 and 65958. First we will calculate the prime factors of 65950 and 65958.

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 65958

Prime factors of 65958 are 2, 3, 10993. Prime factorization of 65958 in exponential form is:

65958 = 21 × 31 × 109931

Now multiplying the highest exponent prime factors to calculate the LCM of 65950 and 65958.

LCM(65950,65958) = 21 × 52 × 13191 × 31 × 109931
LCM(65950,65958) = 2174965050