What is the Least Common Multiple of 20434 and 20454?
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 20434 and 20454 is 208978518.
LCM(20434,20454) = 208978518
Least Common Multiple of 20434 and 20454 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20434 and 20454, than apply into the LCM equation.
GCF(20434,20454) = 2
LCM(20434,20454) = ( 20434 × 20454) / 2
LCM(20434,20454) = 417957036 / 2
LCM(20434,20454) = 208978518
Least Common Multiple (LCM) of 20434 and 20454 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20434 and 20454. First we will calculate the prime factors of 20434 and 20454.
Prime Factorization of 20434
Prime factors of 20434 are 2, 17, 601. Prime factorization of 20434 in exponential form is:
20434 = 21 × 171 × 6011
Prime Factorization of 20454
Prime factors of 20454 are 2, 3, 7, 487. Prime factorization of 20454 in exponential form is:
20454 = 21 × 31 × 71 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 20434 and 20454.
LCM(20434,20454) = 21 × 171 × 6011 × 31 × 71 × 4871
LCM(20434,20454) = 208978518
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