What is the Least Common Multiple of 56642 and 56651?
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 56642 and 56651 is 3208825942.
LCM(56642,56651) = 3208825942
Least Common Multiple of 56642 and 56651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56642 and 56651, than apply into the LCM equation.
GCF(56642,56651) = 1
LCM(56642,56651) = ( 56642 × 56651) / 1
LCM(56642,56651) = 3208825942 / 1
LCM(56642,56651) = 3208825942
Least Common Multiple (LCM) of 56642 and 56651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56642 and 56651. First we will calculate the prime factors of 56642 and 56651.
Prime Factorization of 56642
Prime factors of 56642 are 2, 127, 223. Prime factorization of 56642 in exponential form is:
56642 = 21 × 1271 × 2231
Prime Factorization of 56651
Prime factors of 56651 are 7, 8093. Prime factorization of 56651 in exponential form is:
56651 = 71 × 80931
Now multiplying the highest exponent prime factors to calculate the LCM of 56642 and 56651.
LCM(56642,56651) = 21 × 1271 × 2231 × 71 × 80931
LCM(56642,56651) = 3208825942
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