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What is the Least Common Multiple of 63764 and 63770?

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 63764 and 63770 is 2033115140.

LCM(63764,63770) = 2033115140

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Least Common Multiple of 63764 and 63770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63764 and 63770, than apply into the LCM equation.

GCF(63764,63770) = 2
LCM(63764,63770) = ( 63764 × 63770) / 2
LCM(63764,63770) = 4066230280 / 2
LCM(63764,63770) = 2033115140

Least Common Multiple (LCM) of 63764 and 63770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63764 and 63770. First we will calculate the prime factors of 63764 and 63770.

Prime Factorization of 63764

Prime factors of 63764 are 2, 19, 839. Prime factorization of 63764 in exponential form is:

63764 = 22 × 191 × 8391

Prime Factorization of 63770

Prime factors of 63770 are 2, 5, 7, 911. Prime factorization of 63770 in exponential form is:

63770 = 21 × 51 × 71 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 63764 and 63770.

LCM(63764,63770) = 22 × 191 × 8391 × 51 × 71 × 9111
LCM(63764,63770) = 2033115140