What is the Least Common Multiple of 56477 and 56487?
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 56477 and 56487 is 3190216299.
LCM(56477,56487) = 3190216299
Least Common Multiple of 56477 and 56487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56477 and 56487, than apply into the LCM equation.
GCF(56477,56487) = 1
LCM(56477,56487) = ( 56477 × 56487) / 1
LCM(56477,56487) = 3190216299 / 1
LCM(56477,56487) = 3190216299
Least Common Multiple (LCM) of 56477 and 56487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56477 and 56487. First we will calculate the prime factors of 56477 and 56487.
Prime Factorization of 56477
Prime factors of 56477 are 56477. Prime factorization of 56477 in exponential form is:
56477 = 564771
Prime Factorization of 56487
Prime factors of 56487 are 3, 19, 991. Prime factorization of 56487 in exponential form is:
56487 = 31 × 191 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 56477 and 56487.
LCM(56477,56487) = 564771 × 31 × 191 × 9911
LCM(56477,56487) = 3190216299
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