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What is the Least Common Multiple of 87064 and 87073?

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 87064 and 87073 is 7580923672.

LCM(87064,87073) = 7580923672

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Least Common Multiple of 87064 and 87073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87064 and 87073, than apply into the LCM equation.

GCF(87064,87073) = 1
LCM(87064,87073) = ( 87064 × 87073) / 1
LCM(87064,87073) = 7580923672 / 1
LCM(87064,87073) = 7580923672

Least Common Multiple (LCM) of 87064 and 87073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87064 and 87073. First we will calculate the prime factors of 87064 and 87073.

Prime Factorization of 87064

Prime factors of 87064 are 2, 10883. Prime factorization of 87064 in exponential form is:

87064 = 23 × 108831

Prime Factorization of 87073

Prime factors of 87073 are 7, 1777. Prime factorization of 87073 in exponential form is:

87073 = 72 × 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 87064 and 87073.

LCM(87064,87073) = 23 × 108831 × 72 × 17771
LCM(87064,87073) = 7580923672