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What is the Least Common Multiple of 77892 and 77903?

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 77892 and 77903 is 6068020476.

LCM(77892,77903) = 6068020476

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Least Common Multiple of 77892 and 77903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77892 and 77903, than apply into the LCM equation.

GCF(77892,77903) = 1
LCM(77892,77903) = ( 77892 × 77903) / 1
LCM(77892,77903) = 6068020476 / 1
LCM(77892,77903) = 6068020476

Least Common Multiple (LCM) of 77892 and 77903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77892 and 77903. First we will calculate the prime factors of 77892 and 77903.

Prime Factorization of 77892

Prime factors of 77892 are 2, 3, 6491. Prime factorization of 77892 in exponential form is:

77892 = 22 × 31 × 64911

Prime Factorization of 77903

Prime factors of 77903 are 7, 31, 359. Prime factorization of 77903 in exponential form is:

77903 = 71 × 311 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 77892 and 77903.

LCM(77892,77903) = 22 × 31 × 64911 × 71 × 311 × 3591
LCM(77892,77903) = 6068020476