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What is the Least Common Multiple of 65930 and 65942?

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 65930 and 65942 is 2173778030.

LCM(65930,65942) = 2173778030

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Least Common Multiple of 65930 and 65942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65930 and 65942, than apply into the LCM equation.

GCF(65930,65942) = 2
LCM(65930,65942) = ( 65930 × 65942) / 2
LCM(65930,65942) = 4347556060 / 2
LCM(65930,65942) = 2173778030

Least Common Multiple (LCM) of 65930 and 65942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65930 and 65942. First we will calculate the prime factors of 65930 and 65942.

Prime Factorization of 65930

Prime factors of 65930 are 2, 5, 19, 347. Prime factorization of 65930 in exponential form is:

65930 = 21 × 51 × 191 × 3471

Prime Factorization of 65942

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

65942 = 21 × 329711

Now multiplying the highest exponent prime factors to calculate the LCM of 65930 and 65942.

LCM(65930,65942) = 21 × 51 × 191 × 3471 × 329711
LCM(65930,65942) = 2173778030