What is the Least Common Multiple of 16912 and 16932?
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 16912 and 16932 is 71588496.
LCM(16912,16932) = 71588496
Least Common Multiple of 16912 and 16932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16912 and 16932, than apply into the LCM equation.
GCF(16912,16932) = 4
LCM(16912,16932) = ( 16912 × 16932) / 4
LCM(16912,16932) = 286353984 / 4
LCM(16912,16932) = 71588496
Least Common Multiple (LCM) of 16912 and 16932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16912 and 16932. First we will calculate the prime factors of 16912 and 16932.
Prime Factorization of 16912
Prime factors of 16912 are 2, 7, 151. Prime factorization of 16912 in exponential form is:
16912 = 24 × 71 × 1511
Prime Factorization of 16932
Prime factors of 16932 are 2, 3, 17, 83. Prime factorization of 16932 in exponential form is:
16932 = 22 × 31 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 16912 and 16932.
LCM(16912,16932) = 24 × 71 × 1511 × 31 × 171 × 831
LCM(16912,16932) = 71588496
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