What is the Least Common Multiple of 16731 and 16750?
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 16750 is 280244250.
LCM(16731,16750) = 280244250
Least Common Multiple of 16731 and 16750 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 16750, than apply into the LCM equation.
GCF(16731,16750) = 1
LCM(16731,16750) = ( 16731 × 16750) / 1
LCM(16731,16750) = 280244250 / 1
LCM(16731,16750) = 280244250
Least Common Multiple (LCM) of 16731 and 16750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16731 and 16750. First we will calculate the prime factors of 16731 and 16750.
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 16750
Prime factors of 16750 are 2, 5, 67. Prime factorization of 16750 in exponential form is:
16750 = 21 × 53 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 16731 and 16750.
LCM(16731,16750) = 32 × 111 × 132 × 21 × 53 × 671
LCM(16731,16750) = 280244250
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