What is the Least Common Multiple of 16731 and 16749?
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 16731 and 16749 is 31136391.
LCM(16731,16749) = 31136391
Least Common Multiple of 16731 and 16749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16731 and 16749, than apply into the LCM equation.
GCF(16731,16749) = 9
LCM(16731,16749) = ( 16731 × 16749) / 9
LCM(16731,16749) = 280227519 / 9
LCM(16731,16749) = 31136391
Least Common Multiple (LCM) of 16731 and 16749 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16731 and 16749. First we will calculate the prime factors of 16731 and 16749.
Prime Factorization of 16731
Prime factors of 16731 are 3, 11, 13. Prime factorization of 16731 in exponential form is:
16731 = 32 × 111 × 132
Prime Factorization of 16749
Prime factors of 16749 are 3, 1861. Prime factorization of 16749 in exponential form is:
16749 = 32 × 18611
Now multiplying the highest exponent prime factors to calculate the LCM of 16731 and 16749.
LCM(16731,16749) = 32 × 111 × 132 × 18611
LCM(16731,16749) = 31136391
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