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What is the Least Common Multiple of 63769 and 63777?

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 63769 and 63777 is 4066995513.

LCM(63769,63777) = 4066995513

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Least Common Multiple of 63769 and 63777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63769 and 63777, than apply into the LCM equation.

GCF(63769,63777) = 1
LCM(63769,63777) = ( 63769 × 63777) / 1
LCM(63769,63777) = 4066995513 / 1
LCM(63769,63777) = 4066995513

Least Common Multiple (LCM) of 63769 and 63777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63769 and 63777. First we will calculate the prime factors of 63769 and 63777.

Prime Factorization of 63769

Prime factors of 63769 are 43, 1483. Prime factorization of 63769 in exponential form is:

63769 = 431 × 14831

Prime Factorization of 63777

Prime factors of 63777 are 3, 7, 3037. Prime factorization of 63777 in exponential form is:

63777 = 31 × 71 × 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 63769 and 63777.

LCM(63769,63777) = 431 × 14831 × 31 × 71 × 30371
LCM(63769,63777) = 4066995513