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What is the Least Common Multiple of 93247 and 93258?

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 93247 and 93258 is 790548066.

LCM(93247,93258) = 790548066

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Least Common Multiple of 93247 and 93258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93247 and 93258, than apply into the LCM equation.

GCF(93247,93258) = 11
LCM(93247,93258) = ( 93247 × 93258) / 11
LCM(93247,93258) = 8696028726 / 11
LCM(93247,93258) = 790548066

Least Common Multiple (LCM) of 93247 and 93258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93247 and 93258. First we will calculate the prime factors of 93247 and 93258.

Prime Factorization of 93247

Prime factors of 93247 are 7, 11, 173. Prime factorization of 93247 in exponential form is:

93247 = 72 × 111 × 1731

Prime Factorization of 93258

Prime factors of 93258 are 2, 3, 11, 157. Prime factorization of 93258 in exponential form is:

93258 = 21 × 33 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 93247 and 93258.

LCM(93247,93258) = 72 × 111 × 1731 × 21 × 33 × 1571
LCM(93247,93258) = 790548066