What is the Least Common Multiple of 65946 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 of 65946 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 65946 and 65961, than apply into the LCM equation.

GCF(65946,65961) = 3
LCM(65946,65961) = ( 65946 × 65961) / 3
LCM(65946,65961) = 4349864106 / 3
LCM(65946,65961) = 1449954702

Least Common Multiple (LCM) of 65946 and 65961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65946 and 65961. First we will calculate the prime factors of 65946 and 65961.

Prime Factorization of 65946

Prime Factorization of 65961

Now multiplying the highest exponent prime factors to calculate the LCM of 65946 and 65961.

LCM(65946,65961) = 2¹ × 3³ × 29¹ × 379¹ × 7¹ × 349¹
LCM(65946,65961) = 1449954702