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What is the Least Common Multiple of 87628 and 87637?

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 87628 and 87637 is 7679455036.

LCM(87628,87637) = 7679455036

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Least Common Multiple of 87628 and 87637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87628 and 87637, than apply into the LCM equation.

GCF(87628,87637) = 1
LCM(87628,87637) = ( 87628 × 87637) / 1
LCM(87628,87637) = 7679455036 / 1
LCM(87628,87637) = 7679455036

Least Common Multiple (LCM) of 87628 and 87637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87628 and 87637. First we will calculate the prime factors of 87628 and 87637.

Prime Factorization of 87628

Prime factors of 87628 are 2, 19, 1153. Prime factorization of 87628 in exponential form is:

87628 = 22 × 191 × 11531

Prime Factorization of 87637

Prime factors of 87637 are 11, 31, 257. Prime factorization of 87637 in exponential form is:

87637 = 111 × 311 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 87628 and 87637.

LCM(87628,87637) = 22 × 191 × 11531 × 111 × 311 × 2571
LCM(87628,87637) = 7679455036