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What is the Least Common Multiple of 77883 and 77902?

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 77883 and 77902 is 6067241466.

LCM(77883,77902) = 6067241466

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Least Common Multiple of 77883 and 77902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77883 and 77902, than apply into the LCM equation.

GCF(77883,77902) = 1
LCM(77883,77902) = ( 77883 × 77902) / 1
LCM(77883,77902) = 6067241466 / 1
LCM(77883,77902) = 6067241466

Least Common Multiple (LCM) of 77883 and 77902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77883 and 77902. First we will calculate the prime factors of 77883 and 77902.

Prime Factorization of 77883

Prime factors of 77883 are 3, 13, 1997. Prime factorization of 77883 in exponential form is:

77883 = 31 × 131 × 19971

Prime Factorization of 77902

Prime factors of 77902 are 2, 11, 3541. Prime factorization of 77902 in exponential form is:

77902 = 21 × 111 × 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 77883 and 77902.

LCM(77883,77902) = 31 × 131 × 19971 × 21 × 111 × 35411
LCM(77883,77902) = 6067241466