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What is the Least Common Multiple of 18095 and 18105?

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 18095 and 18105 is 65521995.

LCM(18095,18105) = 65521995

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Least Common Multiple of 18095 and 18105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18095 and 18105, than apply into the LCM equation.

GCF(18095,18105) = 5
LCM(18095,18105) = ( 18095 × 18105) / 5
LCM(18095,18105) = 327609975 / 5
LCM(18095,18105) = 65521995

Least Common Multiple (LCM) of 18095 and 18105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18095 and 18105. First we will calculate the prime factors of 18095 and 18105.

Prime Factorization of 18095

Prime factors of 18095 are 5, 7, 11, 47. Prime factorization of 18095 in exponential form is:

18095 = 51 × 71 × 111 × 471

Prime Factorization of 18105

Prime factors of 18105 are 3, 5, 17, 71. Prime factorization of 18105 in exponential form is:

18105 = 31 × 51 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 18095 and 18105.

LCM(18095,18105) = 51 × 71 × 111 × 471 × 31 × 171 × 711
LCM(18095,18105) = 65521995