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What is the Least Common Multiple of 87737 and 87755?

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 87737 and 87755 is 7699360435.

LCM(87737,87755) = 7699360435

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Least Common Multiple of 87737 and 87755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87737 and 87755, than apply into the LCM equation.

GCF(87737,87755) = 1
LCM(87737,87755) = ( 87737 × 87755) / 1
LCM(87737,87755) = 7699360435 / 1
LCM(87737,87755) = 7699360435

Least Common Multiple (LCM) of 87737 and 87755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87737 and 87755. First we will calculate the prime factors of 87737 and 87755.

Prime Factorization of 87737

Prime factors of 87737 are 13, 17, 397. Prime factorization of 87737 in exponential form is:

87737 = 131 × 171 × 3971

Prime Factorization of 87755

Prime factors of 87755 are 5, 17551. Prime factorization of 87755 in exponential form is:

87755 = 51 × 175511

Now multiplying the highest exponent prime factors to calculate the LCM of 87737 and 87755.

LCM(87737,87755) = 131 × 171 × 3971 × 51 × 175511
LCM(87737,87755) = 7699360435