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What is the Least Common Multiple of 76062 and 76067?

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 76062 and 76067 is 5785808154.

LCM(76062,76067) = 5785808154

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Least Common Multiple of 76062 and 76067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76062 and 76067, than apply into the LCM equation.

GCF(76062,76067) = 1
LCM(76062,76067) = ( 76062 × 76067) / 1
LCM(76062,76067) = 5785808154 / 1
LCM(76062,76067) = 5785808154

Least Common Multiple (LCM) of 76062 and 76067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76062 and 76067. First we will calculate the prime factors of 76062 and 76067.

Prime Factorization of 76062

Prime factors of 76062 are 2, 3, 7, 1811. Prime factorization of 76062 in exponential form is:

76062 = 21 × 31 × 71 × 18111

Prime Factorization of 76067

Prime factors of 76067 are 29, 43, 61. Prime factorization of 76067 in exponential form is:

76067 = 291 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 76062 and 76067.

LCM(76062,76067) = 21 × 31 × 71 × 18111 × 291 × 431 × 611
LCM(76062,76067) = 5785808154