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What is the Least Common Multiple of 10417 and 10437?

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 10417 and 10437 is 108722229.

LCM(10417,10437) = 108722229

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Least Common Multiple of 10417 and 10437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10417 and 10437, than apply into the LCM equation.

GCF(10417,10437) = 1
LCM(10417,10437) = ( 10417 × 10437) / 1
LCM(10417,10437) = 108722229 / 1
LCM(10417,10437) = 108722229

Least Common Multiple (LCM) of 10417 and 10437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10417 and 10437. First we will calculate the prime factors of 10417 and 10437.

Prime Factorization of 10417

Prime factors of 10417 are 11, 947. Prime factorization of 10417 in exponential form is:

10417 = 111 × 9471

Prime Factorization of 10437

Prime factors of 10437 are 3, 7, 71. Prime factorization of 10437 in exponential form is:

10437 = 31 × 72 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 10417 and 10437.

LCM(10417,10437) = 111 × 9471 × 31 × 72 × 711
LCM(10417,10437) = 108722229