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What is the Least Common Multiple of 76880 and 76900?

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 76880 and 76900 is 295603600.

LCM(76880,76900) = 295603600

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Least Common Multiple of 76880 and 76900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76880 and 76900, than apply into the LCM equation.

GCF(76880,76900) = 20
LCM(76880,76900) = ( 76880 × 76900) / 20
LCM(76880,76900) = 5912072000 / 20
LCM(76880,76900) = 295603600

Least Common Multiple (LCM) of 76880 and 76900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76880 and 76900. First we will calculate the prime factors of 76880 and 76900.

Prime Factorization of 76880

Prime factors of 76880 are 2, 5, 31. Prime factorization of 76880 in exponential form is:

76880 = 24 × 51 × 312

Prime Factorization of 76900

Prime factors of 76900 are 2, 5, 769. Prime factorization of 76900 in exponential form is:

76900 = 22 × 52 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 76880 and 76900.

LCM(76880,76900) = 24 × 52 × 312 × 7691
LCM(76880,76900) = 295603600