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What is the Least Common Multiple of 65942 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 65942 and 65958 is 2174701218.

LCM(65942,65958) = 2174701218

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Least Common Multiple of 65942 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 65942 and 65958, than apply into the LCM equation.

GCF(65942,65958) = 2
LCM(65942,65958) = ( 65942 × 65958) / 2
LCM(65942,65958) = 4349402436 / 2
LCM(65942,65958) = 2174701218

Least Common Multiple (LCM) of 65942 and 65958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65942 and 65958. First we will calculate the prime factors of 65942 and 65958.

Prime Factorization of 65942

Prime factors of 65942 are 2, 32971. Prime factorization of 65942 in exponential form is:

65942 = 21 × 329711

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 65942 and 65958.

LCM(65942,65958) = 21 × 329711 × 31 × 109931
LCM(65942,65958) = 2174701218