What is the Least Common Multiple of 16345 and 16357?
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 16345 and 16357 is 267355165.
LCM(16345,16357) = 267355165
Least Common Multiple of 16345 and 16357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16345 and 16357, than apply into the LCM equation.
GCF(16345,16357) = 1
LCM(16345,16357) = ( 16345 × 16357) / 1
LCM(16345,16357) = 267355165 / 1
LCM(16345,16357) = 267355165
Least Common Multiple (LCM) of 16345 and 16357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16345 and 16357. First we will calculate the prime factors of 16345 and 16357.
Prime Factorization of 16345
Prime factors of 16345 are 5, 7, 467. Prime factorization of 16345 in exponential form is:
16345 = 51 × 71 × 4671
Prime Factorization of 16357
Prime factors of 16357 are 11, 1487. Prime factorization of 16357 in exponential form is:
16357 = 111 × 14871
Now multiplying the highest exponent prime factors to calculate the LCM of 16345 and 16357.
LCM(16345,16357) = 51 × 71 × 4671 × 111 × 14871
LCM(16345,16357) = 267355165
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