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What is the Least Common Multiple of 95503 and 95516?

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 95503 and 95516 is 9122064548.

LCM(95503,95516) = 9122064548

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Least Common Multiple of 95503 and 95516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95503 and 95516, than apply into the LCM equation.

GCF(95503,95516) = 1
LCM(95503,95516) = ( 95503 × 95516) / 1
LCM(95503,95516) = 9122064548 / 1
LCM(95503,95516) = 9122064548

Least Common Multiple (LCM) of 95503 and 95516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95503 and 95516. First we will calculate the prime factors of 95503 and 95516.

Prime Factorization of 95503

Prime factors of 95503 are 43, 2221. Prime factorization of 95503 in exponential form is:

95503 = 431 × 22211

Prime Factorization of 95516

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

95516 = 22 × 238791

Now multiplying the highest exponent prime factors to calculate the LCM of 95503 and 95516.

LCM(95503,95516) = 431 × 22211 × 22 × 238791
LCM(95503,95516) = 9122064548