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What is the Least Common Multiple of 76373 and 76382?

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 76373 and 76382 is 5833522486.

LCM(76373,76382) = 5833522486

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Least Common Multiple of 76373 and 76382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76373 and 76382, than apply into the LCM equation.

GCF(76373,76382) = 1
LCM(76373,76382) = ( 76373 × 76382) / 1
LCM(76373,76382) = 5833522486 / 1
LCM(76373,76382) = 5833522486

Least Common Multiple (LCM) of 76373 and 76382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76373 and 76382. First we will calculate the prime factors of 76373 and 76382.

Prime Factorization of 76373

Prime factors of 76373 are 11, 53, 131. Prime factorization of 76373 in exponential form is:

76373 = 111 × 531 × 1311

Prime Factorization of 76382

Prime factors of 76382 are 2, 181, 211. Prime factorization of 76382 in exponential form is:

76382 = 21 × 1811 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 76373 and 76382.

LCM(76373,76382) = 111 × 531 × 1311 × 21 × 1811 × 2111
LCM(76373,76382) = 5833522486