What is the Least Common Multiple of 10642 and 10651?
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 10642 and 10651 is 113347942.
LCM(10642,10651) = 113347942
Least Common Multiple of 10642 and 10651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10642 and 10651, than apply into the LCM equation.
GCF(10642,10651) = 1
LCM(10642,10651) = ( 10642 × 10651) / 1
LCM(10642,10651) = 113347942 / 1
LCM(10642,10651) = 113347942
Least Common Multiple (LCM) of 10642 and 10651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10642 and 10651. First we will calculate the prime factors of 10642 and 10651.
Prime Factorization of 10642
Prime factors of 10642 are 2, 17, 313. Prime factorization of 10642 in exponential form is:
10642 = 21 × 171 × 3131
Prime Factorization of 10651
Prime factors of 10651 are 10651. Prime factorization of 10651 in exponential form is:
10651 = 106511
Now multiplying the highest exponent prime factors to calculate the LCM of 10642 and 10651.
LCM(10642,10651) = 21 × 171 × 3131 × 106511
LCM(10642,10651) = 113347942
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