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What is the Least Common Multiple of 95530 and 95537?

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 95530 and 95537 is 9126649610.

LCM(95530,95537) = 9126649610

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Least Common Multiple of 95530 and 95537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95530 and 95537, than apply into the LCM equation.

GCF(95530,95537) = 1
LCM(95530,95537) = ( 95530 × 95537) / 1
LCM(95530,95537) = 9126649610 / 1
LCM(95530,95537) = 9126649610

Least Common Multiple (LCM) of 95530 and 95537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95530 and 95537. First we will calculate the prime factors of 95530 and 95537.

Prime Factorization of 95530

Prime factors of 95530 are 2, 5, 41, 233. Prime factorization of 95530 in exponential form is:

95530 = 21 × 51 × 411 × 2331

Prime Factorization of 95537

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

95537 = 131 × 73491

Now multiplying the highest exponent prime factors to calculate the LCM of 95530 and 95537.

LCM(95530,95537) = 21 × 51 × 411 × 2331 × 131 × 73491
LCM(95530,95537) = 9126649610