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What is the Least Common Multiple of 99308 and 99327?

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 99308 and 99327 is 9863965716.

LCM(99308,99327) = 9863965716

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Least Common Multiple of 99308 and 99327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99308 and 99327, than apply into the LCM equation.

GCF(99308,99327) = 1
LCM(99308,99327) = ( 99308 × 99327) / 1
LCM(99308,99327) = 9863965716 / 1
LCM(99308,99327) = 9863965716

Least Common Multiple (LCM) of 99308 and 99327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99308 and 99327. First we will calculate the prime factors of 99308 and 99327.

Prime Factorization of 99308

Prime factors of 99308 are 2, 11, 37, 61. Prime factorization of 99308 in exponential form is:

99308 = 22 × 111 × 371 × 611

Prime Factorization of 99327

Prime factors of 99327 are 3, 113, 293. Prime factorization of 99327 in exponential form is:

99327 = 31 × 1131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 99308 and 99327.

LCM(99308,99327) = 22 × 111 × 371 × 611 × 31 × 1131 × 2931
LCM(99308,99327) = 9863965716