What is the Least Common Multiple of 20342 and 20354?
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 20342 and 20354 is 207020534.
LCM(20342,20354) = 207020534
Least Common Multiple of 20342 and 20354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20342 and 20354, than apply into the LCM equation.
GCF(20342,20354) = 2
LCM(20342,20354) = ( 20342 × 20354) / 2
LCM(20342,20354) = 414041068 / 2
LCM(20342,20354) = 207020534
Least Common Multiple (LCM) of 20342 and 20354 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20342 and 20354. First we will calculate the prime factors of 20342 and 20354.
Prime Factorization of 20342
Prime factors of 20342 are 2, 7, 1453. Prime factorization of 20342 in exponential form is:
20342 = 21 × 71 × 14531
Prime Factorization of 20354
Prime factors of 20354 are 2, 10177. Prime factorization of 20354 in exponential form is:
20354 = 21 × 101771
Now multiplying the highest exponent prime factors to calculate the LCM of 20342 and 20354.
LCM(20342,20354) = 21 × 71 × 14531 × 101771
LCM(20342,20354) = 207020534
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