What is the Least Common Multiple of 16392 and 16400?
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 16392 and 16400 is 33603600.
LCM(16392,16400) = 33603600
Least Common Multiple of 16392 and 16400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16392 and 16400, than apply into the LCM equation.
GCF(16392,16400) = 8
LCM(16392,16400) = ( 16392 × 16400) / 8
LCM(16392,16400) = 268828800 / 8
LCM(16392,16400) = 33603600
Least Common Multiple (LCM) of 16392 and 16400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16392 and 16400. First we will calculate the prime factors of 16392 and 16400.
Prime Factorization of 16392
Prime factors of 16392 are 2, 3, 683. Prime factorization of 16392 in exponential form is:
16392 = 23 × 31 × 6831
Prime Factorization of 16400
Prime factors of 16400 are 2, 5, 41. Prime factorization of 16400 in exponential form is:
16400 = 24 × 52 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 16392 and 16400.
LCM(16392,16400) = 24 × 31 × 6831 × 52 × 411
LCM(16392,16400) = 33603600
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