What is the Least Common Multiple of 10403 and 10412?
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 10403 and 10412 is 108316036.
LCM(10403,10412) = 108316036
Least Common Multiple of 10403 and 10412 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10403 and 10412, than apply into the LCM equation.
GCF(10403,10412) = 1
LCM(10403,10412) = ( 10403 × 10412) / 1
LCM(10403,10412) = 108316036 / 1
LCM(10403,10412) = 108316036
Least Common Multiple (LCM) of 10403 and 10412 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10403 and 10412. First we will calculate the prime factors of 10403 and 10412.
Prime Factorization of 10403
Prime factors of 10403 are 101, 103. Prime factorization of 10403 in exponential form is:
10403 = 1011 × 1031
Prime Factorization of 10412
Prime factors of 10412 are 2, 19, 137. Prime factorization of 10412 in exponential form is:
10412 = 22 × 191 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 10403 and 10412.
LCM(10403,10412) = 1011 × 1031 × 22 × 191 × 1371
LCM(10403,10412) = 108316036
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