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What is the Least Common Multiple of 65946 and 65965?

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 65946 and 65965 is 4350127890.

LCM(65946,65965) = 4350127890

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Least Common Multiple of 65946 and 65965 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 65965, than apply into the LCM equation.

GCF(65946,65965) = 1
LCM(65946,65965) = ( 65946 × 65965) / 1
LCM(65946,65965) = 4350127890 / 1
LCM(65946,65965) = 4350127890

Least Common Multiple (LCM) of 65946 and 65965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65946 and 65965. First we will calculate the prime factors of 65946 and 65965.

Prime Factorization of 65946

Prime factors of 65946 are 2, 3, 29, 379. Prime factorization of 65946 in exponential form is:

65946 = 21 × 31 × 291 × 3791

Prime Factorization of 65965

Prime factors of 65965 are 5, 79, 167. Prime factorization of 65965 in exponential form is:

65965 = 51 × 791 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 65946 and 65965.

LCM(65946,65965) = 21 × 31 × 291 × 3791 × 51 × 791 × 1671
LCM(65946,65965) = 4350127890