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What is the Least Common Multiple of 87836 and 87845?

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 87836 and 87845 is 7715953420.

LCM(87836,87845) = 7715953420

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Least Common Multiple of 87836 and 87845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87836 and 87845, than apply into the LCM equation.

GCF(87836,87845) = 1
LCM(87836,87845) = ( 87836 × 87845) / 1
LCM(87836,87845) = 7715953420 / 1
LCM(87836,87845) = 7715953420

Least Common Multiple (LCM) of 87836 and 87845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87836 and 87845. First we will calculate the prime factors of 87836 and 87845.

Prime Factorization of 87836

Prime factors of 87836 are 2, 7, 3137. Prime factorization of 87836 in exponential form is:

87836 = 22 × 71 × 31371

Prime Factorization of 87845

Prime factors of 87845 are 5, 17569. Prime factorization of 87845 in exponential form is:

87845 = 51 × 175691

Now multiplying the highest exponent prime factors to calculate the LCM of 87836 and 87845.

LCM(87836,87845) = 22 × 71 × 31371 × 51 × 175691
LCM(87836,87845) = 7715953420