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What is the Least Common Multiple of 93562 and 93566?

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 93562 and 93566 is 4377111046.

LCM(93562,93566) = 4377111046

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Least Common Multiple of 93562 and 93566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93562 and 93566, than apply into the LCM equation.

GCF(93562,93566) = 2
LCM(93562,93566) = ( 93562 × 93566) / 2
LCM(93562,93566) = 8754222092 / 2
LCM(93562,93566) = 4377111046

Least Common Multiple (LCM) of 93562 and 93566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93562 and 93566. First we will calculate the prime factors of 93562 and 93566.

Prime Factorization of 93562

Prime factors of 93562 are 2, 7, 41, 163. Prime factorization of 93562 in exponential form is:

93562 = 21 × 71 × 411 × 1631

Prime Factorization of 93566

Prime factors of 93566 are 2, 11, 4253. Prime factorization of 93566 in exponential form is:

93566 = 21 × 111 × 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 93562 and 93566.

LCM(93562,93566) = 21 × 71 × 411 × 1631 × 111 × 42531
LCM(93562,93566) = 4377111046