What is the Least Common Multiple of 30573 and 30578?
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 30573 and 30578 is 934861194.
LCM(30573,30578) = 934861194
Least Common Multiple of 30573 and 30578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30573 and 30578, than apply into the LCM equation.
GCF(30573,30578) = 1
LCM(30573,30578) = ( 30573 × 30578) / 1
LCM(30573,30578) = 934861194 / 1
LCM(30573,30578) = 934861194
Least Common Multiple (LCM) of 30573 and 30578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30573 and 30578. First we will calculate the prime factors of 30573 and 30578.
Prime Factorization of 30573
Prime factors of 30573 are 3, 43, 79. Prime factorization of 30573 in exponential form is:
30573 = 32 × 431 × 791
Prime Factorization of 30578
Prime factors of 30578 are 2, 15289. Prime factorization of 30578 in exponential form is:
30578 = 21 × 152891
Now multiplying the highest exponent prime factors to calculate the LCM of 30573 and 30578.
LCM(30573,30578) = 32 × 431 × 791 × 21 × 152891
LCM(30573,30578) = 934861194
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