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What is the Least Common Multiple of 65661 and 65678?

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 65661 and 65678 is 4312483158.

LCM(65661,65678) = 4312483158

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Least Common Multiple of 65661 and 65678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65661 and 65678, than apply into the LCM equation.

GCF(65661,65678) = 1
LCM(65661,65678) = ( 65661 × 65678) / 1
LCM(65661,65678) = 4312483158 / 1
LCM(65661,65678) = 4312483158

Least Common Multiple (LCM) of 65661 and 65678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65661 and 65678. First we will calculate the prime factors of 65661 and 65678.

Prime Factorization of 65661

Prime factors of 65661 are 3, 43, 509. Prime factorization of 65661 in exponential form is:

65661 = 31 × 431 × 5091

Prime Factorization of 65678

Prime factors of 65678 are 2, 32839. Prime factorization of 65678 in exponential form is:

65678 = 21 × 328391

Now multiplying the highest exponent prime factors to calculate the LCM of 65661 and 65678.

LCM(65661,65678) = 31 × 431 × 5091 × 21 × 328391
LCM(65661,65678) = 4312483158