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What is the Least Common Multiple of 4677 and 4695?

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 4677 and 4695 is 7319505.

LCM(4677,4695) = 7319505

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Least Common Multiple of 4677 and 4695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4677 and 4695, than apply into the LCM equation.

GCF(4677,4695) = 3
LCM(4677,4695) = ( 4677 × 4695) / 3
LCM(4677,4695) = 21958515 / 3
LCM(4677,4695) = 7319505

Least Common Multiple (LCM) of 4677 and 4695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4677 and 4695. First we will calculate the prime factors of 4677 and 4695.

Prime Factorization of 4677

Prime factors of 4677 are 3, 1559. Prime factorization of 4677 in exponential form is:

4677 = 31 × 15591

Prime Factorization of 4695

Prime factors of 4695 are 3, 5, 313. Prime factorization of 4695 in exponential form is:

4695 = 31 × 51 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 4677 and 4695.

LCM(4677,4695) = 31 × 15591 × 51 × 3131
LCM(4677,4695) = 7319505