What is the Least Common Multiple of 76888 and 76902?
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 76888 and 76902 is 422345784.
LCM(76888,76902) = 422345784
Least Common Multiple of 76888 and 76902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76888 and 76902, than apply into the LCM equation.
GCF(76888,76902) = 14
LCM(76888,76902) = ( 76888 × 76902) / 14
LCM(76888,76902) = 5912840976 / 14
LCM(76888,76902) = 422345784
Least Common Multiple (LCM) of 76888 and 76902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76888 and 76902. First we will calculate the prime factors of 76888 and 76902.
Prime Factorization of 76888
Prime factors of 76888 are 2, 7, 1373. Prime factorization of 76888 in exponential form is:
76888 = 23 × 71 × 13731
Prime Factorization of 76902
Prime factors of 76902 are 2, 3, 7, 1831. Prime factorization of 76902 in exponential form is:
76902 = 21 × 31 × 71 × 18311
Now multiplying the highest exponent prime factors to calculate the LCM of 76888 and 76902.
LCM(76888,76902) = 23 × 71 × 13731 × 31 × 18311
LCM(76888,76902) = 422345784
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