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What is the Least Common Multiple of 76844 and 76856?

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 76844 and 76856 is 1476480616.

LCM(76844,76856) = 1476480616

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Least Common Multiple of 76844 and 76856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76844 and 76856, than apply into the LCM equation.

GCF(76844,76856) = 4
LCM(76844,76856) = ( 76844 × 76856) / 4
LCM(76844,76856) = 5905922464 / 4
LCM(76844,76856) = 1476480616

Least Common Multiple (LCM) of 76844 and 76856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76844 and 76856. First we will calculate the prime factors of 76844 and 76856.

Prime Factorization of 76844

Prime factors of 76844 are 2, 19211. Prime factorization of 76844 in exponential form is:

76844 = 22 × 192111

Prime Factorization of 76856

Prime factors of 76856 are 2, 13, 739. Prime factorization of 76856 in exponential form is:

76856 = 23 × 131 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 76844 and 76856.

LCM(76844,76856) = 23 × 192111 × 131 × 7391
LCM(76844,76856) = 1476480616