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What is the Least Common Multiple of 87419 and 87437?

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 87419 and 87437 is 7643655103.

LCM(87419,87437) = 7643655103

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Least Common Multiple of 87419 and 87437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87419 and 87437, than apply into the LCM equation.

GCF(87419,87437) = 1
LCM(87419,87437) = ( 87419 × 87437) / 1
LCM(87419,87437) = 7643655103 / 1
LCM(87419,87437) = 7643655103

Least Common Multiple (LCM) of 87419 and 87437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87419 and 87437. First we will calculate the prime factors of 87419 and 87437.

Prime Factorization of 87419

Prime factors of 87419 are 19, 43, 107. Prime factorization of 87419 in exponential form is:

87419 = 191 × 431 × 1071

Prime Factorization of 87437

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

87437 = 71 × 124911

Now multiplying the highest exponent prime factors to calculate the LCM of 87419 and 87437.

LCM(87419,87437) = 191 × 431 × 1071 × 71 × 124911
LCM(87419,87437) = 7643655103