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What is the Least Common Multiple of 63785 and 63797?

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 63785 and 63797 is 4069291645.

LCM(63785,63797) = 4069291645

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Least Common Multiple of 63785 and 63797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63785 and 63797, than apply into the LCM equation.

GCF(63785,63797) = 1
LCM(63785,63797) = ( 63785 × 63797) / 1
LCM(63785,63797) = 4069291645 / 1
LCM(63785,63797) = 4069291645

Least Common Multiple (LCM) of 63785 and 63797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63785 and 63797. First we will calculate the prime factors of 63785 and 63797.

Prime Factorization of 63785

Prime factors of 63785 are 5, 12757. Prime factorization of 63785 in exponential form is:

63785 = 51 × 127571

Prime Factorization of 63797

Prime factors of 63797 are 131, 487. Prime factorization of 63797 in exponential form is:

63797 = 1311 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 63785 and 63797.

LCM(63785,63797) = 51 × 127571 × 1311 × 4871
LCM(63785,63797) = 4069291645