What is the Least Common Multiple of 10147 and 10156?
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 10147 and 10156 is 103052932.
LCM(10147,10156) = 103052932
Least Common Multiple of 10147 and 10156 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10147 and 10156, than apply into the LCM equation.
GCF(10147,10156) = 1
LCM(10147,10156) = ( 10147 × 10156) / 1
LCM(10147,10156) = 103052932 / 1
LCM(10147,10156) = 103052932
Least Common Multiple (LCM) of 10147 and 10156 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10147 and 10156. First we will calculate the prime factors of 10147 and 10156.
Prime Factorization of 10147
Prime factors of 10147 are 73, 139. Prime factorization of 10147 in exponential form is:
10147 = 731 × 1391
Prime Factorization of 10156
Prime factors of 10156 are 2, 2539. Prime factorization of 10156 in exponential form is:
10156 = 22 × 25391
Now multiplying the highest exponent prime factors to calculate the LCM of 10147 and 10156.
LCM(10147,10156) = 731 × 1391 × 22 × 25391
LCM(10147,10156) = 103052932
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