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What is the Least Common Multiple of 77839 and 77851?

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 77839 and 77851 is 6059843989.

LCM(77839,77851) = 6059843989

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Least Common Multiple of 77839 and 77851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77839 and 77851, than apply into the LCM equation.

GCF(77839,77851) = 1
LCM(77839,77851) = ( 77839 × 77851) / 1
LCM(77839,77851) = 6059843989 / 1
LCM(77839,77851) = 6059843989

Least Common Multiple (LCM) of 77839 and 77851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77839 and 77851. First we will calculate the prime factors of 77839 and 77851.

Prime Factorization of 77839

Prime factors of 77839 are 77839. Prime factorization of 77839 in exponential form is:

77839 = 778391

Prime Factorization of 77851

Prime factors of 77851 are 127, 613. Prime factorization of 77851 in exponential form is:

77851 = 1271 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 77839 and 77851.

LCM(77839,77851) = 778391 × 1271 × 6131
LCM(77839,77851) = 6059843989