What is the Least Common Multiple of 20004 and 20008?
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 20004 and 20008 is 100060008.
LCM(20004,20008) = 100060008
Least Common Multiple of 20004 and 20008 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20004 and 20008, than apply into the LCM equation.
GCF(20004,20008) = 4
LCM(20004,20008) = ( 20004 × 20008) / 4
LCM(20004,20008) = 400240032 / 4
LCM(20004,20008) = 100060008
Least Common Multiple (LCM) of 20004 and 20008 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20004 and 20008. First we will calculate the prime factors of 20004 and 20008.
Prime Factorization of 20004
Prime factors of 20004 are 2, 3, 1667. Prime factorization of 20004 in exponential form is:
20004 = 22 × 31 × 16671
Prime Factorization of 20008
Prime factors of 20008 are 2, 41, 61. Prime factorization of 20008 in exponential form is:
20008 = 23 × 411 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 20004 and 20008.
LCM(20004,20008) = 23 × 31 × 16671 × 411 × 611
LCM(20004,20008) = 100060008
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