What is the Least Common Multiple of 10437 and 10445?
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 10437 and 10445 is 109014465.
LCM(10437,10445) = 109014465
Least Common Multiple of 10437 and 10445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10437 and 10445, than apply into the LCM equation.
GCF(10437,10445) = 1
LCM(10437,10445) = ( 10437 × 10445) / 1
LCM(10437,10445) = 109014465 / 1
LCM(10437,10445) = 109014465
Least Common Multiple (LCM) of 10437 and 10445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10437 and 10445. First we will calculate the prime factors of 10437 and 10445.
Prime Factorization of 10437
Prime factors of 10437 are 3, 7, 71. Prime factorization of 10437 in exponential form is:
10437 = 31 × 72 × 711
Prime Factorization of 10445
Prime factors of 10445 are 5, 2089. Prime factorization of 10445 in exponential form is:
10445 = 51 × 20891
Now multiplying the highest exponent prime factors to calculate the LCM of 10437 and 10445.
LCM(10437,10445) = 31 × 72 × 711 × 51 × 20891
LCM(10437,10445) = 109014465
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