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What is the Least Common Multiple of 65986 and 65994?

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 65986 and 65994 is 2177340042.

LCM(65986,65994) = 2177340042

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Least Common Multiple of 65986 and 65994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65986 and 65994, than apply into the LCM equation.

GCF(65986,65994) = 2
LCM(65986,65994) = ( 65986 × 65994) / 2
LCM(65986,65994) = 4354680084 / 2
LCM(65986,65994) = 2177340042

Least Common Multiple (LCM) of 65986 and 65994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65986 and 65994. First we will calculate the prime factors of 65986 and 65994.

Prime Factorization of 65986

Prime factors of 65986 are 2, 32993. Prime factorization of 65986 in exponential form is:

65986 = 21 × 329931

Prime Factorization of 65994

Prime factors of 65994 are 2, 3, 17, 647. Prime factorization of 65994 in exponential form is:

65994 = 21 × 31 × 171 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 65986 and 65994.

LCM(65986,65994) = 21 × 329931 × 31 × 171 × 6471
LCM(65986,65994) = 2177340042