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What is the Least Common Multiple of 93554 and 93562?

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 93554 and 93562 is 4376549674.

LCM(93554,93562) = 4376549674

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Least Common Multiple of 93554 and 93562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93554 and 93562, than apply into the LCM equation.

GCF(93554,93562) = 2
LCM(93554,93562) = ( 93554 × 93562) / 2
LCM(93554,93562) = 8753099348 / 2
LCM(93554,93562) = 4376549674

Least Common Multiple (LCM) of 93554 and 93562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93554 and 93562. First we will calculate the prime factors of 93554 and 93562.

Prime Factorization of 93554

Prime factors of 93554 are 2, 29, 1613. Prime factorization of 93554 in exponential form is:

93554 = 21 × 291 × 16131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 93554 and 93562.

LCM(93554,93562) = 21 × 291 × 16131 × 71 × 411 × 1631
LCM(93554,93562) = 4376549674