What is the Least Common Multiple of 10617 and 10629?
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 10617 and 10629 is 37616031.
LCM(10617,10629) = 37616031
Least Common Multiple of 10617 and 10629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10617 and 10629, than apply into the LCM equation.
GCF(10617,10629) = 3
LCM(10617,10629) = ( 10617 × 10629) / 3
LCM(10617,10629) = 112848093 / 3
LCM(10617,10629) = 37616031
Least Common Multiple (LCM) of 10617 and 10629 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10617 and 10629. First we will calculate the prime factors of 10617 and 10629.
Prime Factorization of 10617
Prime factors of 10617 are 3, 3539. Prime factorization of 10617 in exponential form is:
10617 = 31 × 35391
Prime Factorization of 10629
Prime factors of 10629 are 3, 1181. Prime factorization of 10629 in exponential form is:
10629 = 32 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 10617 and 10629.
LCM(10617,10629) = 32 × 35391 × 11811
LCM(10617,10629) = 37616031
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Related Least Common Multiples of 10629
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