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What is the Least Common Multiple of 87437 and 87442?

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 87437 and 87442 is 7645666154.

LCM(87437,87442) = 7645666154

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Least Common Multiple of 87437 and 87442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87437 and 87442, than apply into the LCM equation.

GCF(87437,87442) = 1
LCM(87437,87442) = ( 87437 × 87442) / 1
LCM(87437,87442) = 7645666154 / 1
LCM(87437,87442) = 7645666154

Least Common Multiple (LCM) of 87437 and 87442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87437 and 87442. First we will calculate the prime factors of 87437 and 87442.

Prime Factorization of 87437

Prime factors of 87437 are 7, 12491. Prime factorization of 87437 in exponential form is:

87437 = 71 × 124911

Prime Factorization of 87442

Prime factors of 87442 are 2, 43721. Prime factorization of 87442 in exponential form is:

87442 = 21 × 437211

Now multiplying the highest exponent prime factors to calculate the LCM of 87437 and 87442.

LCM(87437,87442) = 71 × 124911 × 21 × 437211
LCM(87437,87442) = 7645666154