What is the Least Common Multiple of 65946 and 65950?

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 65950 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 65950, than apply into the LCM equation.

GCF(65946,65950) = 2
LCM(65946,65950) = ( 65946 × 65950) / 2
LCM(65946,65950) = 4349138700 / 2
LCM(65946,65950) = 2174569350

Least Common Multiple (LCM) of 65946 and 65950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65946 and 65950. First we will calculate the prime factors of 65946 and 65950.

Prime Factorization of 65946

Prime Factorization of 65950

Now multiplying the highest exponent prime factors to calculate the LCM of 65946 and 65950.

LCM(65946,65950) = 2¹ × 3¹ × 29¹ × 379¹ × 5² × 1319¹
LCM(65946,65950) = 2174569350