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What is the Least Common Multiple of 93126 and 93142?

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 93126 and 93142 is 4336970946.

LCM(93126,93142) = 4336970946

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Least Common Multiple of 93126 and 93142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93126 and 93142, than apply into the LCM equation.

GCF(93126,93142) = 2
LCM(93126,93142) = ( 93126 × 93142) / 2
LCM(93126,93142) = 8673941892 / 2
LCM(93126,93142) = 4336970946

Least Common Multiple (LCM) of 93126 and 93142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93126 and 93142. First we will calculate the prime factors of 93126 and 93142.

Prime Factorization of 93126

Prime factors of 93126 are 2, 3, 11, 17, 83. Prime factorization of 93126 in exponential form is:

93126 = 21 × 31 × 111 × 171 × 831

Prime Factorization of 93142

Prime factors of 93142 are 2, 7, 6653. Prime factorization of 93142 in exponential form is:

93142 = 21 × 71 × 66531

Now multiplying the highest exponent prime factors to calculate the LCM of 93126 and 93142.

LCM(93126,93142) = 21 × 31 × 111 × 171 × 831 × 71 × 66531
LCM(93126,93142) = 4336970946