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What is the Least Common Multiple of 95457 and 95465?

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 95457 and 95465 is 9112802505.

LCM(95457,95465) = 9112802505

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Least Common Multiple of 95457 and 95465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95457 and 95465, than apply into the LCM equation.

GCF(95457,95465) = 1
LCM(95457,95465) = ( 95457 × 95465) / 1
LCM(95457,95465) = 9112802505 / 1
LCM(95457,95465) = 9112802505

Least Common Multiple (LCM) of 95457 and 95465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95457 and 95465. First we will calculate the prime factors of 95457 and 95465.

Prime Factorization of 95457

Prime factors of 95457 are 3, 47, 677. Prime factorization of 95457 in exponential form is:

95457 = 31 × 471 × 6771

Prime Factorization of 95465

Prime factors of 95465 are 5, 61, 313. Prime factorization of 95465 in exponential form is:

95465 = 51 × 611 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 95457 and 95465.

LCM(95457,95465) = 31 × 471 × 6771 × 51 × 611 × 3131
LCM(95457,95465) = 9112802505