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What is the Least Common Multiple of 76816 and 76820?

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 76816 and 76820 is 1475251280.

LCM(76816,76820) = 1475251280

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Least Common Multiple of 76816 and 76820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76816 and 76820, than apply into the LCM equation.

GCF(76816,76820) = 4
LCM(76816,76820) = ( 76816 × 76820) / 4
LCM(76816,76820) = 5901005120 / 4
LCM(76816,76820) = 1475251280

Least Common Multiple (LCM) of 76816 and 76820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76816 and 76820. First we will calculate the prime factors of 76816 and 76820.

Prime Factorization of 76816

Prime factors of 76816 are 2, 4801. Prime factorization of 76816 in exponential form is:

76816 = 24 × 48011

Prime Factorization of 76820

Prime factors of 76820 are 2, 5, 23, 167. Prime factorization of 76820 in exponential form is:

76820 = 22 × 51 × 231 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 76816 and 76820.

LCM(76816,76820) = 24 × 48011 × 51 × 231 × 1671
LCM(76816,76820) = 1475251280