What is the Least Common Multiple of 76877 and 76888?
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 76877 and 76888 is 5910918776.
LCM(76877,76888) = 5910918776
Least Common Multiple of 76877 and 76888 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76877 and 76888, than apply into the LCM equation.
GCF(76877,76888) = 1
LCM(76877,76888) = ( 76877 × 76888) / 1
LCM(76877,76888) = 5910918776 / 1
LCM(76877,76888) = 5910918776
Least Common Multiple (LCM) of 76877 and 76888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76877 and 76888. First we will calculate the prime factors of 76877 and 76888.
Prime Factorization of 76877
Prime factors of 76877 are 59, 1303. Prime factorization of 76877 in exponential form is:
76877 = 591 × 13031
Prime Factorization of 76888
Prime factors of 76888 are 2, 7, 1373. Prime factorization of 76888 in exponential form is:
76888 = 23 × 71 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 76877 and 76888.
LCM(76877,76888) = 591 × 13031 × 23 × 71 × 13731
LCM(76877,76888) = 5910918776
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