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What is the Least Common Multiple of 95461 and 95469?

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 95461 and 95469 is 9113566209.

LCM(95461,95469) = 9113566209

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Least Common Multiple of 95461 and 95469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95461 and 95469, than apply into the LCM equation.

GCF(95461,95469) = 1
LCM(95461,95469) = ( 95461 × 95469) / 1
LCM(95461,95469) = 9113566209 / 1
LCM(95461,95469) = 9113566209

Least Common Multiple (LCM) of 95461 and 95469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95461 and 95469. First we will calculate the prime factors of 95461 and 95469.

Prime Factorization of 95461

Prime factors of 95461 are 95461. Prime factorization of 95461 in exponential form is:

95461 = 954611

Prime Factorization of 95469

Prime factors of 95469 are 3, 11, 263. Prime factorization of 95469 in exponential form is:

95469 = 31 × 112 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 95461 and 95469.

LCM(95461,95469) = 954611 × 31 × 112 × 2631
LCM(95461,95469) = 9113566209