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What is the Least Common Multiple of 47777 and 47786?

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 47777 and 47786 is 2283071722.

LCM(47777,47786) = 2283071722

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Least Common Multiple of 47777 and 47786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47777 and 47786, than apply into the LCM equation.

GCF(47777,47786) = 1
LCM(47777,47786) = ( 47777 × 47786) / 1
LCM(47777,47786) = 2283071722 / 1
LCM(47777,47786) = 2283071722

Least Common Multiple (LCM) of 47777 and 47786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47777 and 47786. First we will calculate the prime factors of 47777 and 47786.

Prime Factorization of 47777

Prime factors of 47777 are 47777. Prime factorization of 47777 in exponential form is:

47777 = 477771

Prime Factorization of 47786

Prime factors of 47786 are 2, 23893. Prime factorization of 47786 in exponential form is:

47786 = 21 × 238931

Now multiplying the highest exponent prime factors to calculate the LCM of 47777 and 47786.

LCM(47777,47786) = 477771 × 21 × 238931
LCM(47777,47786) = 2283071722