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What is the Least Common Multiple of 95516 and 95535?

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 95516 and 95535 is 9125121060.

LCM(95516,95535) = 9125121060

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Least Common Multiple of 95516 and 95535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95516 and 95535, than apply into the LCM equation.

GCF(95516,95535) = 1
LCM(95516,95535) = ( 95516 × 95535) / 1
LCM(95516,95535) = 9125121060 / 1
LCM(95516,95535) = 9125121060

Least Common Multiple (LCM) of 95516 and 95535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95516 and 95535. First we will calculate the prime factors of 95516 and 95535.

Prime Factorization of 95516

Prime factors of 95516 are 2, 23879. Prime factorization of 95516 in exponential form is:

95516 = 22 × 238791

Prime Factorization of 95535

Prime factors of 95535 are 3, 5, 11, 193. Prime factorization of 95535 in exponential form is:

95535 = 32 × 51 × 111 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 95516 and 95535.

LCM(95516,95535) = 22 × 238791 × 32 × 51 × 111 × 1931
LCM(95516,95535) = 9125121060