What is the Least Common Multiple of 56630 and 56642?
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 56630 and 56642 is 1603818230.
LCM(56630,56642) = 1603818230
Least Common Multiple of 56630 and 56642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56630 and 56642, than apply into the LCM equation.
GCF(56630,56642) = 2
LCM(56630,56642) = ( 56630 × 56642) / 2
LCM(56630,56642) = 3207636460 / 2
LCM(56630,56642) = 1603818230
Least Common Multiple (LCM) of 56630 and 56642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56630 and 56642. First we will calculate the prime factors of 56630 and 56642.
Prime Factorization of 56630
Prime factors of 56630 are 2, 5, 7, 809. Prime factorization of 56630 in exponential form is:
56630 = 21 × 51 × 71 × 8091
Prime Factorization of 56642
Prime factors of 56642 are 2, 127, 223. Prime factorization of 56642 in exponential form is:
56642 = 21 × 1271 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 56630 and 56642.
LCM(56630,56642) = 21 × 51 × 71 × 8091 × 1271 × 2231
LCM(56630,56642) = 1603818230
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