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What is the Least Common Multiple of 91692 and 91705?

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 91705 is 8408614860.

LCM(91692,91705) = 8408614860

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Least Common Multiple of 91692 and 91705 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 91705, than apply into the LCM equation.

GCF(91692,91705) = 1
LCM(91692,91705) = ( 91692 × 91705) / 1
LCM(91692,91705) = 8408614860 / 1
LCM(91692,91705) = 8408614860

Least Common Multiple (LCM) of 91692 and 91705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91692 and 91705. First we will calculate the prime factors of 91692 and 91705.

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 91705

Prime factors of 91705 are 5, 18341. Prime factorization of 91705 in exponential form is:

91705 = 51 × 183411

Now multiplying the highest exponent prime factors to calculate the LCM of 91692 and 91705.

LCM(91692,91705) = 22 × 34 × 2831 × 51 × 183411
LCM(91692,91705) = 8408614860