What is the Least Common Multiple of 76888 and 76906?
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 76906 is 2956574264.
LCM(76888,76906) = 2956574264
Least Common Multiple of 76888 and 76906 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 76906, than apply into the LCM equation.
GCF(76888,76906) = 2
LCM(76888,76906) = ( 76888 × 76906) / 2
LCM(76888,76906) = 5913148528 / 2
LCM(76888,76906) = 2956574264
Least Common Multiple (LCM) of 76888 and 76906 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76888 and 76906. First we will calculate the prime factors of 76888 and 76906.
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 76906
Prime factors of 76906 are 2, 38453. Prime factorization of 76906 in exponential form is:
76906 = 21 × 384531
Now multiplying the highest exponent prime factors to calculate the LCM of 76888 and 76906.
LCM(76888,76906) = 23 × 71 × 13731 × 384531
LCM(76888,76906) = 2956574264
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