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What is the Least Common Multiple of 87667 and 87673?

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 87667 and 87673 is 7686028891.

LCM(87667,87673) = 7686028891

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Least Common Multiple of 87667 and 87673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87667 and 87673, than apply into the LCM equation.

GCF(87667,87673) = 1
LCM(87667,87673) = ( 87667 × 87673) / 1
LCM(87667,87673) = 7686028891 / 1
LCM(87667,87673) = 7686028891

Least Common Multiple (LCM) of 87667 and 87673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87667 and 87673. First we will calculate the prime factors of 87667 and 87673.

Prime Factorization of 87667

Prime factors of 87667 are 29, 3023. Prime factorization of 87667 in exponential form is:

87667 = 291 × 30231

Prime Factorization of 87673

Prime factors of 87673 are 73, 1201. Prime factorization of 87673 in exponential form is:

87673 = 731 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 87667 and 87673.

LCM(87667,87673) = 291 × 30231 × 731 × 12011
LCM(87667,87673) = 7686028891