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What is the Least Common Multiple of 63787 and 63792?

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 63787 and 63792 is 4069100304.

LCM(63787,63792) = 4069100304

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Least Common Multiple of 63787 and 63792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63787 and 63792, than apply into the LCM equation.

GCF(63787,63792) = 1
LCM(63787,63792) = ( 63787 × 63792) / 1
LCM(63787,63792) = 4069100304 / 1
LCM(63787,63792) = 4069100304

Least Common Multiple (LCM) of 63787 and 63792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63787 and 63792. First we will calculate the prime factors of 63787 and 63792.

Prime Factorization of 63787

Prime factors of 63787 are 227, 281. Prime factorization of 63787 in exponential form is:

63787 = 2271 × 2811

Prime Factorization of 63792

Prime factors of 63792 are 2, 3, 443. Prime factorization of 63792 in exponential form is:

63792 = 24 × 32 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 63787 and 63792.

LCM(63787,63792) = 2271 × 2811 × 24 × 32 × 4431
LCM(63787,63792) = 4069100304