What is the Least Common Multiple of 20391 and 20410?
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 20391 and 20410 is 416180310.
LCM(20391,20410) = 416180310
Least Common Multiple of 20391 and 20410 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20391 and 20410, than apply into the LCM equation.
GCF(20391,20410) = 1
LCM(20391,20410) = ( 20391 × 20410) / 1
LCM(20391,20410) = 416180310 / 1
LCM(20391,20410) = 416180310
Least Common Multiple (LCM) of 20391 and 20410 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20391 and 20410. First we will calculate the prime factors of 20391 and 20410.
Prime Factorization of 20391
Prime factors of 20391 are 3, 7, 971. Prime factorization of 20391 in exponential form is:
20391 = 31 × 71 × 9711
Prime Factorization of 20410
Prime factors of 20410 are 2, 5, 13, 157. Prime factorization of 20410 in exponential form is:
20410 = 21 × 51 × 131 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 20391 and 20410.
LCM(20391,20410) = 31 × 71 × 9711 × 21 × 51 × 131 × 1571
LCM(20391,20410) = 416180310
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