What is the Least Common Multiple of 87927 and 87931?
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 87927 and 87931 is 7731509037.
LCM(87927,87931) = 7731509037
Least Common Multiple of 87927 and 87931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87927 and 87931, than apply into the LCM equation.
GCF(87927,87931) = 1
LCM(87927,87931) = ( 87927 × 87931) / 1
LCM(87927,87931) = 7731509037 / 1
LCM(87927,87931) = 7731509037
Least Common Multiple (LCM) of 87927 and 87931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87927 and 87931. First we will calculate the prime factors of 87927 and 87931.
Prime Factorization of 87927
Prime factors of 87927 are 3, 7, 53, 79. Prime factorization of 87927 in exponential form is:
87927 = 31 × 71 × 531 × 791
Prime Factorization of 87931
Prime factors of 87931 are 87931. Prime factorization of 87931 in exponential form is:
87931 = 879311
Now multiplying the highest exponent prime factors to calculate the LCM of 87927 and 87931.
LCM(87927,87931) = 31 × 71 × 531 × 791 × 879311
LCM(87927,87931) = 7731509037
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