What is the Least Common Multiple of 16348 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 16348 and 16357 is 267404236.
LCM(16348,16357) = 267404236
Least Common Multiple of 16348 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 16348 and 16357, than apply into the LCM equation.
GCF(16348,16357) = 1
LCM(16348,16357) = ( 16348 × 16357) / 1
LCM(16348,16357) = 267404236 / 1
LCM(16348,16357) = 267404236
Least Common Multiple (LCM) of 16348 and 16357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16348 and 16357. First we will calculate the prime factors of 16348 and 16357.
Prime Factorization of 16348
Prime factors of 16348 are 2, 61, 67. Prime factorization of 16348 in exponential form is:
16348 = 22 × 611 × 671
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 16348 and 16357.
LCM(16348,16357) = 22 × 611 × 671 × 111 × 14871
LCM(16348,16357) = 267404236
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