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What is the Least Common Multiple of 95101 and 95109?

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 95101 and 95109 is 9044961009.

LCM(95101,95109) = 9044961009

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Least Common Multiple of 95101 and 95109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95101 and 95109, than apply into the LCM equation.

GCF(95101,95109) = 1
LCM(95101,95109) = ( 95101 × 95109) / 1
LCM(95101,95109) = 9044961009 / 1
LCM(95101,95109) = 9044961009

Least Common Multiple (LCM) of 95101 and 95109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95101 and 95109. First we will calculate the prime factors of 95101 and 95109.

Prime Factorization of 95101

Prime factors of 95101 are 95101. Prime factorization of 95101 in exponential form is:

95101 = 951011

Prime Factorization of 95109

Prime factors of 95109 are 3, 7, 647. Prime factorization of 95109 in exponential form is:

95109 = 31 × 72 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 95101 and 95109.

LCM(95101,95109) = 951011 × 31 × 72 × 6471
LCM(95101,95109) = 9044961009