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What is the Least Common Multiple of 87059 and 87064?

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 87059 and 87064 is 7579704776.

LCM(87059,87064) = 7579704776

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Least Common Multiple of 87059 and 87064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87059 and 87064, than apply into the LCM equation.

GCF(87059,87064) = 1
LCM(87059,87064) = ( 87059 × 87064) / 1
LCM(87059,87064) = 7579704776 / 1
LCM(87059,87064) = 7579704776

Least Common Multiple (LCM) of 87059 and 87064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87059 and 87064. First we will calculate the prime factors of 87059 and 87064.

Prime Factorization of 87059

Prime factors of 87059 are 7, 12437. Prime factorization of 87059 in exponential form is:

87059 = 71 × 124371

Prime Factorization of 87064

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

87064 = 23 × 108831

Now multiplying the highest exponent prime factors to calculate the LCM of 87059 and 87064.

LCM(87059,87064) = 71 × 124371 × 23 × 108831
LCM(87059,87064) = 7579704776