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What is the Least Common Multiple of 4769 and 4777?

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 4769 and 4777 is 22781513.

LCM(4769,4777) = 22781513

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Least Common Multiple of 4769 and 4777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4769 and 4777, than apply into the LCM equation.

GCF(4769,4777) = 1
LCM(4769,4777) = ( 4769 × 4777) / 1
LCM(4769,4777) = 22781513 / 1
LCM(4769,4777) = 22781513

Least Common Multiple (LCM) of 4769 and 4777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4769 and 4777. First we will calculate the prime factors of 4769 and 4777.

Prime Factorization of 4769

Prime factors of 4769 are 19, 251. Prime factorization of 4769 in exponential form is:

4769 = 191 × 2511

Prime Factorization of 4777

Prime factors of 4777 are 17, 281. Prime factorization of 4777 in exponential form is:

4777 = 171 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 4769 and 4777.

LCM(4769,4777) = 191 × 2511 × 171 × 2811
LCM(4769,4777) = 22781513