What is the Least Common Multiple of 16358 and 16364?
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 16358 and 16364 is 133841156.
LCM(16358,16364) = 133841156
Least Common Multiple of 16358 and 16364 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16358 and 16364, than apply into the LCM equation.
GCF(16358,16364) = 2
LCM(16358,16364) = ( 16358 × 16364) / 2
LCM(16358,16364) = 267682312 / 2
LCM(16358,16364) = 133841156
Least Common Multiple (LCM) of 16358 and 16364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16358 and 16364. First we will calculate the prime factors of 16358 and 16364.
Prime Factorization of 16358
Prime factors of 16358 are 2, 8179. Prime factorization of 16358 in exponential form is:
16358 = 21 × 81791
Prime Factorization of 16364
Prime factors of 16364 are 2, 4091. Prime factorization of 16364 in exponential form is:
16364 = 22 × 40911
Now multiplying the highest exponent prime factors to calculate the LCM of 16358 and 16364.
LCM(16358,16364) = 22 × 81791 × 40911
LCM(16358,16364) = 133841156
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