What is the Least Common Multiple of 76824 and 76831?
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 76824 and 76831 is 5902464744.
LCM(76824,76831) = 5902464744
Least Common Multiple of 76824 and 76831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76824 and 76831, than apply into the LCM equation.
GCF(76824,76831) = 1
LCM(76824,76831) = ( 76824 × 76831) / 1
LCM(76824,76831) = 5902464744 / 1
LCM(76824,76831) = 5902464744
Least Common Multiple (LCM) of 76824 and 76831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76824 and 76831. First we will calculate the prime factors of 76824 and 76831.
Prime Factorization of 76824
Prime factors of 76824 are 2, 3, 11, 97. Prime factorization of 76824 in exponential form is:
76824 = 23 × 32 × 111 × 971
Prime Factorization of 76831
Prime factors of 76831 are 76831. Prime factorization of 76831 in exponential form is:
76831 = 768311
Now multiplying the highest exponent prime factors to calculate the LCM of 76824 and 76831.
LCM(76824,76831) = 23 × 32 × 111 × 971 × 768311
LCM(76824,76831) = 5902464744
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