What is the Least Common Multiple of 76882 and 76898?
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 76882 and 76898 is 2956036018.
LCM(76882,76898) = 2956036018
Least Common Multiple of 76882 and 76898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76882 and 76898, than apply into the LCM equation.
GCF(76882,76898) = 2
LCM(76882,76898) = ( 76882 × 76898) / 2
LCM(76882,76898) = 5912072036 / 2
LCM(76882,76898) = 2956036018
Least Common Multiple (LCM) of 76882 and 76898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76882 and 76898. First we will calculate the prime factors of 76882 and 76898.
Prime Factorization of 76882
Prime factors of 76882 are 2, 13, 2957. Prime factorization of 76882 in exponential form is:
76882 = 21 × 131 × 29571
Prime Factorization of 76898
Prime factors of 76898 are 2, 38449. Prime factorization of 76898 in exponential form is:
76898 = 21 × 384491
Now multiplying the highest exponent prime factors to calculate the LCM of 76882 and 76898.
LCM(76882,76898) = 21 × 131 × 29571 × 384491
LCM(76882,76898) = 2956036018
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