What is the Least Common Multiple of 87927 and 87938?
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 87938 is 7732124526.
LCM(87927,87938) = 7732124526
Least Common Multiple of 87927 and 87938 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 87938, than apply into the LCM equation.
GCF(87927,87938) = 1
LCM(87927,87938) = ( 87927 × 87938) / 1
LCM(87927,87938) = 7732124526 / 1
LCM(87927,87938) = 7732124526
Least Common Multiple (LCM) of 87927 and 87938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87927 and 87938. First we will calculate the prime factors of 87927 and 87938.
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 87938
Prime factors of 87938 are 2, 43969. Prime factorization of 87938 in exponential form is:
87938 = 21 × 439691
Now multiplying the highest exponent prime factors to calculate the LCM of 87927 and 87938.
LCM(87927,87938) = 31 × 71 × 531 × 791 × 21 × 439691
LCM(87927,87938) = 7732124526
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