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What is the Least Common Multiple of 4675 and 4680?

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 4675 and 4680 is 4375800.

LCM(4675,4680) = 4375800

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Least Common Multiple of 4675 and 4680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4675 and 4680, than apply into the LCM equation.

GCF(4675,4680) = 5
LCM(4675,4680) = ( 4675 × 4680) / 5
LCM(4675,4680) = 21879000 / 5
LCM(4675,4680) = 4375800

Least Common Multiple (LCM) of 4675 and 4680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4680. First we will calculate the prime factors of 4675 and 4680.

Prime Factorization of 4675

Prime factors of 4675 are 5, 11, 17. Prime factorization of 4675 in exponential form is:

4675 = 52 × 111 × 171

Prime Factorization of 4680

Prime factors of 4680 are 2, 3, 5, 13. Prime factorization of 4680 in exponential form is:

4680 = 23 × 32 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4675 and 4680.

LCM(4675,4680) = 52 × 111 × 171 × 23 × 32 × 131
LCM(4675,4680) = 4375800