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What is the Least Common Multiple of 73877 and 73886?

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 73877 and 73886 is 5458476022.

LCM(73877,73886) = 5458476022

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Least Common Multiple of 73877 and 73886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73877 and 73886, than apply into the LCM equation.

GCF(73877,73886) = 1
LCM(73877,73886) = ( 73877 × 73886) / 1
LCM(73877,73886) = 5458476022 / 1
LCM(73877,73886) = 5458476022

Least Common Multiple (LCM) of 73877 and 73886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73877 and 73886. First we will calculate the prime factors of 73877 and 73886.

Prime Factorization of 73877

Prime factors of 73877 are 73877. Prime factorization of 73877 in exponential form is:

73877 = 738771

Prime Factorization of 73886

Prime factors of 73886 are 2, 36943. Prime factorization of 73886 in exponential form is:

73886 = 21 × 369431

Now multiplying the highest exponent prime factors to calculate the LCM of 73877 and 73886.

LCM(73877,73886) = 738771 × 21 × 369431
LCM(73877,73886) = 5458476022