What is the Least Common Multiple of 16764 and 16776?
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 16764 and 16776 is 23436072.
LCM(16764,16776) = 23436072
Least Common Multiple of 16764 and 16776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16764 and 16776, than apply into the LCM equation.
GCF(16764,16776) = 12
LCM(16764,16776) = ( 16764 × 16776) / 12
LCM(16764,16776) = 281232864 / 12
LCM(16764,16776) = 23436072
Least Common Multiple (LCM) of 16764 and 16776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16764 and 16776. First we will calculate the prime factors of 16764 and 16776.
Prime Factorization of 16764
Prime factors of 16764 are 2, 3, 11, 127. Prime factorization of 16764 in exponential form is:
16764 = 22 × 31 × 111 × 1271
Prime Factorization of 16776
Prime factors of 16776 are 2, 3, 233. Prime factorization of 16776 in exponential form is:
16776 = 23 × 32 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 16764 and 16776.
LCM(16764,16776) = 23 × 32 × 111 × 1271 × 2331
LCM(16764,16776) = 23436072
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