What is the Least Common Multiple of 16303 and 16307?
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 16303 and 16307 is 265853021.
LCM(16303,16307) = 265853021
Least Common Multiple of 16303 and 16307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16303 and 16307, than apply into the LCM equation.
GCF(16303,16307) = 1
LCM(16303,16307) = ( 16303 × 16307) / 1
LCM(16303,16307) = 265853021 / 1
LCM(16303,16307) = 265853021
Least Common Multiple (LCM) of 16303 and 16307 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16303 and 16307. First we will calculate the prime factors of 16303 and 16307.
Prime Factorization of 16303
Prime factors of 16303 are 7, 17, 137. Prime factorization of 16303 in exponential form is:
16303 = 71 × 171 × 1371
Prime Factorization of 16307
Prime factors of 16307 are 23, 709. Prime factorization of 16307 in exponential form is:
16307 = 231 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 16303 and 16307.
LCM(16303,16307) = 71 × 171 × 1371 × 231 × 7091
LCM(16303,16307) = 265853021
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