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What is the Least Common Multiple of 93654 and 93658?

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 93654 and 93658 is 4385723166.

LCM(93654,93658) = 4385723166

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Least Common Multiple of 93654 and 93658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93654 and 93658, than apply into the LCM equation.

GCF(93654,93658) = 2
LCM(93654,93658) = ( 93654 × 93658) / 2
LCM(93654,93658) = 8771446332 / 2
LCM(93654,93658) = 4385723166

Least Common Multiple (LCM) of 93654 and 93658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93654 and 93658. First we will calculate the prime factors of 93654 and 93658.

Prime Factorization of 93654

Prime factors of 93654 are 2, 3, 11, 43. Prime factorization of 93654 in exponential form is:

93654 = 21 × 32 × 112 × 431

Prime Factorization of 93658

Prime factors of 93658 are 2, 46829. Prime factorization of 93658 in exponential form is:

93658 = 21 × 468291

Now multiplying the highest exponent prime factors to calculate the LCM of 93654 and 93658.

LCM(93654,93658) = 21 × 32 × 112 × 431 × 468291
LCM(93654,93658) = 4385723166