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What is the Least Common Multiple of 47877 and 47881?

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 47877 and 47881 is 2292398637.

LCM(47877,47881) = 2292398637

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Least Common Multiple of 47877 and 47881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47877 and 47881, than apply into the LCM equation.

GCF(47877,47881) = 1
LCM(47877,47881) = ( 47877 × 47881) / 1
LCM(47877,47881) = 2292398637 / 1
LCM(47877,47881) = 2292398637

Least Common Multiple (LCM) of 47877 and 47881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47877 and 47881. First we will calculate the prime factors of 47877 and 47881.

Prime Factorization of 47877

Prime factors of 47877 are 3, 15959. Prime factorization of 47877 in exponential form is:

47877 = 31 × 159591

Prime Factorization of 47881

Prime factors of 47881 are 47881. Prime factorization of 47881 in exponential form is:

47881 = 478811

Now multiplying the highest exponent prime factors to calculate the LCM of 47877 and 47881.

LCM(47877,47881) = 31 × 159591 × 478811
LCM(47877,47881) = 2292398637