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What is the Least Common Multiple of 14603 and 14622?

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 14603 and 14622 is 213525066.

LCM(14603,14622) = 213525066

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Least Common Multiple of 14603 and 14622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14603 and 14622, than apply into the LCM equation.

GCF(14603,14622) = 1
LCM(14603,14622) = ( 14603 × 14622) / 1
LCM(14603,14622) = 213525066 / 1
LCM(14603,14622) = 213525066

Least Common Multiple (LCM) of 14603 and 14622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14603 and 14622. First we will calculate the prime factors of 14603 and 14622.

Prime Factorization of 14603

Prime factors of 14603 are 17, 859. Prime factorization of 14603 in exponential form is:

14603 = 171 × 8591

Prime Factorization of 14622

Prime factors of 14622 are 2, 3, 2437. Prime factorization of 14622 in exponential form is:

14622 = 21 × 31 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 14603 and 14622.

LCM(14603,14622) = 171 × 8591 × 21 × 31 × 24371
LCM(14603,14622) = 213525066