What is the Least Common Multiple of 10471 and 10476?
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 10471 and 10476 is 109694196.
LCM(10471,10476) = 109694196
Least Common Multiple of 10471 and 10476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10471 and 10476, than apply into the LCM equation.
GCF(10471,10476) = 1
LCM(10471,10476) = ( 10471 × 10476) / 1
LCM(10471,10476) = 109694196 / 1
LCM(10471,10476) = 109694196
Least Common Multiple (LCM) of 10471 and 10476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10471 and 10476. First we will calculate the prime factors of 10471 and 10476.
Prime Factorization of 10471
Prime factors of 10471 are 37, 283. Prime factorization of 10471 in exponential form is:
10471 = 371 × 2831
Prime Factorization of 10476
Prime factors of 10476 are 2, 3, 97. Prime factorization of 10476 in exponential form is:
10476 = 22 × 33 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 10471 and 10476.
LCM(10471,10476) = 371 × 2831 × 22 × 33 × 971
LCM(10471,10476) = 109694196
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