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What is the Least Common Multiple of 4758 and 4770?

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 4758 and 4770 is 3782610.

LCM(4758,4770) = 3782610

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Least Common Multiple of 4758 and 4770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4758 and 4770, than apply into the LCM equation.

GCF(4758,4770) = 6
LCM(4758,4770) = ( 4758 × 4770) / 6
LCM(4758,4770) = 22695660 / 6
LCM(4758,4770) = 3782610

Least Common Multiple (LCM) of 4758 and 4770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4758 and 4770. First we will calculate the prime factors of 4758 and 4770.

Prime Factorization of 4758

Prime factors of 4758 are 2, 3, 13, 61. Prime factorization of 4758 in exponential form is:

4758 = 21 × 31 × 131 × 611

Prime Factorization of 4770

Prime factors of 4770 are 2, 3, 5, 53. Prime factorization of 4770 in exponential form is:

4770 = 21 × 32 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4758 and 4770.

LCM(4758,4770) = 21 × 32 × 131 × 611 × 51 × 531
LCM(4758,4770) = 3782610