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What is the Least Common Multiple of 93562 and 93567?

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 93567 is 8754315654.

LCM(93562,93567) = 8754315654

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Least Common Multiple of 93562 and 93567 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 93567, than apply into the LCM equation.

GCF(93562,93567) = 1
LCM(93562,93567) = ( 93562 × 93567) / 1
LCM(93562,93567) = 8754315654 / 1
LCM(93562,93567) = 8754315654

Least Common Multiple (LCM) of 93562 and 93567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93562 and 93567. First we will calculate the prime factors of 93562 and 93567.

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 93567

Prime factors of 93567 are 3, 31189. Prime factorization of 93567 in exponential form is:

93567 = 31 × 311891

Now multiplying the highest exponent prime factors to calculate the LCM of 93562 and 93567.

LCM(93562,93567) = 21 × 71 × 411 × 1631 × 31 × 311891
LCM(93562,93567) = 8754315654