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What is the Least Common Multiple of 3880 and 3900?

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 3880 and 3900 is 756600.

LCM(3880,3900) = 756600

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Least Common Multiple of 3880 and 3900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3880 and 3900, than apply into the LCM equation.

GCF(3880,3900) = 20
LCM(3880,3900) = ( 3880 × 3900) / 20
LCM(3880,3900) = 15132000 / 20
LCM(3880,3900) = 756600

Least Common Multiple (LCM) of 3880 and 3900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3880 and 3900. First we will calculate the prime factors of 3880 and 3900.

Prime Factorization of 3880

Prime factors of 3880 are 2, 5, 97. Prime factorization of 3880 in exponential form is:

3880 = 23 × 51 × 971

Prime Factorization of 3900

Prime factors of 3900 are 2, 3, 5, 13. Prime factorization of 3900 in exponential form is:

3900 = 22 × 31 × 52 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3880 and 3900.

LCM(3880,3900) = 23 × 52 × 971 × 31 × 131
LCM(3880,3900) = 756600