What is the Least Common Multiple of 10153 and 10165?
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 10153 and 10165 is 103205245.
LCM(10153,10165) = 103205245
Least Common Multiple of 10153 and 10165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10153 and 10165, than apply into the LCM equation.
GCF(10153,10165) = 1
LCM(10153,10165) = ( 10153 × 10165) / 1
LCM(10153,10165) = 103205245 / 1
LCM(10153,10165) = 103205245
Least Common Multiple (LCM) of 10153 and 10165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10153 and 10165. First we will calculate the prime factors of 10153 and 10165.
Prime Factorization of 10153
Prime factors of 10153 are 11, 13, 71. Prime factorization of 10153 in exponential form is:
10153 = 111 × 131 × 711
Prime Factorization of 10165
Prime factors of 10165 are 5, 19, 107. Prime factorization of 10165 in exponential form is:
10165 = 51 × 191 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 10153 and 10165.
LCM(10153,10165) = 111 × 131 × 711 × 51 × 191 × 1071
LCM(10153,10165) = 103205245
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