What is the Least Common Multiple of 16546 and 16550?
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 16546 and 16550 is 136918150.
LCM(16546,16550) = 136918150
Least Common Multiple of 16546 and 16550 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16546 and 16550, than apply into the LCM equation.
GCF(16546,16550) = 2
LCM(16546,16550) = ( 16546 × 16550) / 2
LCM(16546,16550) = 273836300 / 2
LCM(16546,16550) = 136918150
Least Common Multiple (LCM) of 16546 and 16550 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16546 and 16550. First we will calculate the prime factors of 16546 and 16550.
Prime Factorization of 16546
Prime factors of 16546 are 2, 8273. Prime factorization of 16546 in exponential form is:
16546 = 21 × 82731
Prime Factorization of 16550
Prime factors of 16550 are 2, 5, 331. Prime factorization of 16550 in exponential form is:
16550 = 21 × 52 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 16546 and 16550.
LCM(16546,16550) = 21 × 82731 × 52 × 3311
LCM(16546,16550) = 136918150
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