What is the Least Common Multiple of 56079 and 56086?
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 56079 and 56086 is 3145246794.
LCM(56079,56086) = 3145246794
Least Common Multiple of 56079 and 56086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56079 and 56086, than apply into the LCM equation.
GCF(56079,56086) = 1
LCM(56079,56086) = ( 56079 × 56086) / 1
LCM(56079,56086) = 3145246794 / 1
LCM(56079,56086) = 3145246794
Least Common Multiple (LCM) of 56079 and 56086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56079 and 56086. First we will calculate the prime factors of 56079 and 56086.
Prime Factorization of 56079
Prime factors of 56079 are 3, 31, 67. Prime factorization of 56079 in exponential form is:
56079 = 33 × 311 × 671
Prime Factorization of 56086
Prime factors of 56086 are 2, 29, 967. Prime factorization of 56086 in exponential form is:
56086 = 21 × 291 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 56079 and 56086.
LCM(56079,56086) = 33 × 311 × 671 × 21 × 291 × 9671
LCM(56079,56086) = 3145246794
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