What is the Least Common Multiple of 30570 and 30579?
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 30570 and 30579 is 311600010.
LCM(30570,30579) = 311600010
Least Common Multiple of 30570 and 30579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30570 and 30579, than apply into the LCM equation.
GCF(30570,30579) = 3
LCM(30570,30579) = ( 30570 × 30579) / 3
LCM(30570,30579) = 934800030 / 3
LCM(30570,30579) = 311600010
Least Common Multiple (LCM) of 30570 and 30579 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30570 and 30579. First we will calculate the prime factors of 30570 and 30579.
Prime Factorization of 30570
Prime factors of 30570 are 2, 3, 5, 1019. Prime factorization of 30570 in exponential form is:
30570 = 21 × 31 × 51 × 10191
Prime Factorization of 30579
Prime factors of 30579 are 3, 10193. Prime factorization of 30579 in exponential form is:
30579 = 31 × 101931
Now multiplying the highest exponent prime factors to calculate the LCM of 30570 and 30579.
LCM(30570,30579) = 21 × 31 × 51 × 10191 × 101931
LCM(30570,30579) = 311600010
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