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What is the Least Common Multiple of 77777 and 77791?

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 77777 and 77791 is 864335801.

LCM(77777,77791) = 864335801

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Least Common Multiple of 77777 and 77791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77777 and 77791, than apply into the LCM equation.

GCF(77777,77791) = 7
LCM(77777,77791) = ( 77777 × 77791) / 7
LCM(77777,77791) = 6050350607 / 7
LCM(77777,77791) = 864335801

Least Common Multiple (LCM) of 77777 and 77791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77777 and 77791. First we will calculate the prime factors of 77777 and 77791.

Prime Factorization of 77777

Prime factors of 77777 are 7, 41, 271. Prime factorization of 77777 in exponential form is:

77777 = 71 × 411 × 2711

Prime Factorization of 77791

Prime factors of 77791 are 7, 11113. Prime factorization of 77791 in exponential form is:

77791 = 71 × 111131

Now multiplying the highest exponent prime factors to calculate the LCM of 77777 and 77791.

LCM(77777,77791) = 71 × 411 × 2711 × 111131
LCM(77777,77791) = 864335801