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What is the Least Common Multiple of 47701 and 47711?

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 47701 and 47711 is 2275862411.

LCM(47701,47711) = 2275862411

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Least Common Multiple of 47701 and 47711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47701 and 47711, than apply into the LCM equation.

GCF(47701,47711) = 1
LCM(47701,47711) = ( 47701 × 47711) / 1
LCM(47701,47711) = 2275862411 / 1
LCM(47701,47711) = 2275862411

Least Common Multiple (LCM) of 47701 and 47711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47701 and 47711. First we will calculate the prime factors of 47701 and 47711.

Prime Factorization of 47701

Prime factors of 47701 are 47701. Prime factorization of 47701 in exponential form is:

47701 = 477011

Prime Factorization of 47711

Prime factors of 47711 are 47711. Prime factorization of 47711 in exponential form is:

47711 = 477111

Now multiplying the highest exponent prime factors to calculate the LCM of 47701 and 47711.

LCM(47701,47711) = 477011 × 477111
LCM(47701,47711) = 2275862411