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What is the Least Common Multiple of 95537 and 95554?

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 95537 and 95554 is 9128942498.

LCM(95537,95554) = 9128942498

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Least Common Multiple of 95537 and 95554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95537 and 95554, than apply into the LCM equation.

GCF(95537,95554) = 1
LCM(95537,95554) = ( 95537 × 95554) / 1
LCM(95537,95554) = 9128942498 / 1
LCM(95537,95554) = 9128942498

Least Common Multiple (LCM) of 95537 and 95554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95537 and 95554. First we will calculate the prime factors of 95537 and 95554.

Prime Factorization of 95537

Prime factors of 95537 are 13, 7349. Prime factorization of 95537 in exponential form is:

95537 = 131 × 73491

Prime Factorization of 95554

Prime factors of 95554 are 2, 47777. Prime factorization of 95554 in exponential form is:

95554 = 21 × 477771

Now multiplying the highest exponent prime factors to calculate the LCM of 95537 and 95554.

LCM(95537,95554) = 131 × 73491 × 21 × 477771
LCM(95537,95554) = 9128942498