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What is the Least Common Multiple of 93172 and 93182?

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 93172 and 93182 is 4340976652.

LCM(93172,93182) = 4340976652

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Least Common Multiple of 93172 and 93182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93172 and 93182, than apply into the LCM equation.

GCF(93172,93182) = 2
LCM(93172,93182) = ( 93172 × 93182) / 2
LCM(93172,93182) = 8681953304 / 2
LCM(93172,93182) = 4340976652

Least Common Multiple (LCM) of 93172 and 93182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93172 and 93182. First we will calculate the prime factors of 93172 and 93182.

Prime Factorization of 93172

Prime factors of 93172 are 2, 23293. Prime factorization of 93172 in exponential form is:

93172 = 22 × 232931

Prime Factorization of 93182

Prime factors of 93182 are 2, 46591. Prime factorization of 93182 in exponential form is:

93182 = 21 × 465911

Now multiplying the highest exponent prime factors to calculate the LCM of 93172 and 93182.

LCM(93172,93182) = 22 × 232931 × 465911
LCM(93172,93182) = 4340976652