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What is the Least Common Multiple of 18095 and 18101?

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 18101 is 327537595.

LCM(18095,18101) = 327537595

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Least Common Multiple of 18095 and 18101 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 18101, than apply into the LCM equation.

GCF(18095,18101) = 1
LCM(18095,18101) = ( 18095 × 18101) / 1
LCM(18095,18101) = 327537595 / 1
LCM(18095,18101) = 327537595

Least Common Multiple (LCM) of 18095 and 18101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18095 and 18101. First we will calculate the prime factors of 18095 and 18101.

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 18101

Prime factors of 18101 are 23, 787. Prime factorization of 18101 in exponential form is:

18101 = 231 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 18095 and 18101.

LCM(18095,18101) = 51 × 71 × 111 × 471 × 231 × 7871
LCM(18095,18101) = 327537595