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What is the Least Common Multiple of 87133 and 87137?

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 87133 and 87137 is 7592508221.

LCM(87133,87137) = 7592508221

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Least Common Multiple of 87133 and 87137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87133 and 87137, than apply into the LCM equation.

GCF(87133,87137) = 1
LCM(87133,87137) = ( 87133 × 87137) / 1
LCM(87133,87137) = 7592508221 / 1
LCM(87133,87137) = 7592508221

Least Common Multiple (LCM) of 87133 and 87137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87133 and 87137. First we will calculate the prime factors of 87133 and 87137.

Prime Factorization of 87133

Prime factors of 87133 are 87133. Prime factorization of 87133 in exponential form is:

87133 = 871331

Prime Factorization of 87137

Prime factors of 87137 are 79, 1103. Prime factorization of 87137 in exponential form is:

87137 = 791 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 87133 and 87137.

LCM(87133,87137) = 871331 × 791 × 11031
LCM(87133,87137) = 7592508221