What is the Least Common Multiple of 30194 and 30205?
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 30194 and 30205 is 912009770.
LCM(30194,30205) = 912009770
Least Common Multiple of 30194 and 30205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30194 and 30205, than apply into the LCM equation.
GCF(30194,30205) = 1
LCM(30194,30205) = ( 30194 × 30205) / 1
LCM(30194,30205) = 912009770 / 1
LCM(30194,30205) = 912009770
Least Common Multiple (LCM) of 30194 and 30205 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30194 and 30205. First we will calculate the prime factors of 30194 and 30205.
Prime Factorization of 30194
Prime factors of 30194 are 2, 31, 487. Prime factorization of 30194 in exponential form is:
30194 = 21 × 311 × 4871
Prime Factorization of 30205
Prime factors of 30205 are 5, 7, 863. Prime factorization of 30205 in exponential form is:
30205 = 51 × 71 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 30194 and 30205.
LCM(30194,30205) = 21 × 311 × 4871 × 51 × 71 × 8631
LCM(30194,30205) = 912009770
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