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What is the Least Common Multiple of 76421 and 76441?

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 76421 and 76441 is 5841697661.

LCM(76421,76441) = 5841697661

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Least Common Multiple of 76421 and 76441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76421 and 76441, than apply into the LCM equation.

GCF(76421,76441) = 1
LCM(76421,76441) = ( 76421 × 76441) / 1
LCM(76421,76441) = 5841697661 / 1
LCM(76421,76441) = 5841697661

Least Common Multiple (LCM) of 76421 and 76441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76421 and 76441. First we will calculate the prime factors of 76421 and 76441.

Prime Factorization of 76421

Prime factors of 76421 are 76421. Prime factorization of 76421 in exponential form is:

76421 = 764211

Prime Factorization of 76441

Prime factors of 76441 are 76441. Prime factorization of 76441 in exponential form is:

76441 = 764411

Now multiplying the highest exponent prime factors to calculate the LCM of 76421 and 76441.

LCM(76421,76441) = 764211 × 764411
LCM(76421,76441) = 5841697661