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What is the Least Common Multiple of 91692 and 91698?

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 91692 and 91698 is 1401328836.

LCM(91692,91698) = 1401328836

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Least Common Multiple of 91692 and 91698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91692 and 91698, than apply into the LCM equation.

GCF(91692,91698) = 6
LCM(91692,91698) = ( 91692 × 91698) / 6
LCM(91692,91698) = 8407973016 / 6
LCM(91692,91698) = 1401328836

Least Common Multiple (LCM) of 91692 and 91698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91692 and 91698. First we will calculate the prime factors of 91692 and 91698.

Prime Factorization of 91692

Prime factors of 91692 are 2, 3, 283. Prime factorization of 91692 in exponential form is:

91692 = 22 × 34 × 2831

Prime Factorization of 91698

Prime factors of 91698 are 2, 3, 17, 29, 31. Prime factorization of 91698 in exponential form is:

91698 = 21 × 31 × 171 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 91692 and 91698.

LCM(91692,91698) = 22 × 34 × 2831 × 171 × 291 × 311
LCM(91692,91698) = 1401328836