What is the Least Common Multiple of 16778 and 16782?
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 16778 and 16782 is 140784198.
LCM(16778,16782) = 140784198
Least Common Multiple of 16778 and 16782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16778 and 16782, than apply into the LCM equation.
GCF(16778,16782) = 2
LCM(16778,16782) = ( 16778 × 16782) / 2
LCM(16778,16782) = 281568396 / 2
LCM(16778,16782) = 140784198
Least Common Multiple (LCM) of 16778 and 16782 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16778 and 16782. First we will calculate the prime factors of 16778 and 16782.
Prime Factorization of 16778
Prime factors of 16778 are 2, 8389. Prime factorization of 16778 in exponential form is:
16778 = 21 × 83891
Prime Factorization of 16782
Prime factors of 16782 are 2, 3, 2797. Prime factorization of 16782 in exponential form is:
16782 = 21 × 31 × 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 16778 and 16782.
LCM(16778,16782) = 21 × 83891 × 31 × 27971
LCM(16778,16782) = 140784198
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