What is the Least Common Multiple of 16626 and 16639?
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 16626 and 16639 is 276640014.
LCM(16626,16639) = 276640014
Least Common Multiple of 16626 and 16639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16626 and 16639, than apply into the LCM equation.
GCF(16626,16639) = 1
LCM(16626,16639) = ( 16626 × 16639) / 1
LCM(16626,16639) = 276640014 / 1
LCM(16626,16639) = 276640014
Least Common Multiple (LCM) of 16626 and 16639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16626 and 16639. First we will calculate the prime factors of 16626 and 16639.
Prime Factorization of 16626
Prime factors of 16626 are 2, 3, 17, 163. Prime factorization of 16626 in exponential form is:
16626 = 21 × 31 × 171 × 1631
Prime Factorization of 16639
Prime factors of 16639 are 7, 2377. Prime factorization of 16639 in exponential form is:
16639 = 71 × 23771
Now multiplying the highest exponent prime factors to calculate the LCM of 16626 and 16639.
LCM(16626,16639) = 21 × 31 × 171 × 1631 × 71 × 23771
LCM(16626,16639) = 276640014
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