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What is the Least Common Multiple of 10147 and 10153?

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 10153 is 103022491.

LCM(10147,10153) = 103022491

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Least Common Multiple of 10147 and 10153 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 10153, than apply into the LCM equation.

GCF(10147,10153) = 1
LCM(10147,10153) = ( 10147 × 10153) / 1
LCM(10147,10153) = 103022491 / 1
LCM(10147,10153) = 103022491

Least Common Multiple (LCM) of 10147 and 10153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10147 and 10153. First we will calculate the prime factors of 10147 and 10153.

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 10153

Prime factors of 10153 are 11, 13, 71. Prime factorization of 10153 in exponential form is:

10153 = 111 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 10147 and 10153.

LCM(10147,10153) = 731 × 1391 × 111 × 131 × 711
LCM(10147,10153) = 103022491