What is the Least Common Multiple of 56642 and 56655?
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 56655 is 3209052510.
LCM(56642,56655) = 3209052510
Least Common Multiple of 56642 and 56655 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 56655, than apply into the LCM equation.
GCF(56642,56655) = 1
LCM(56642,56655) = ( 56642 × 56655) / 1
LCM(56642,56655) = 3209052510 / 1
LCM(56642,56655) = 3209052510
Least Common Multiple (LCM) of 56642 and 56655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56642 and 56655. First we will calculate the prime factors of 56642 and 56655.
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 56655
Prime factors of 56655 are 3, 5, 1259. Prime factorization of 56655 in exponential form is:
56655 = 32 × 51 × 12591
Now multiplying the highest exponent prime factors to calculate the LCM of 56642 and 56655.
LCM(56642,56655) = 21 × 1271 × 2231 × 32 × 51 × 12591
LCM(56642,56655) = 3209052510
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