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What is the Least Common Multiple of 30059 and 30077?

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 30059 and 30077 is 904084543.

LCM(30059,30077) = 904084543

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Least Common Multiple of 30059 and 30077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30059 and 30077, than apply into the LCM equation.

GCF(30059,30077) = 1
LCM(30059,30077) = ( 30059 × 30077) / 1
LCM(30059,30077) = 904084543 / 1
LCM(30059,30077) = 904084543

Least Common Multiple (LCM) of 30059 and 30077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30059 and 30077. First we will calculate the prime factors of 30059 and 30077.

Prime Factorization of 30059

Prime factors of 30059 are 30059. Prime factorization of 30059 in exponential form is:

30059 = 300591

Prime Factorization of 30077

Prime factors of 30077 are 19, 1583. Prime factorization of 30077 in exponential form is:

30077 = 191 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 30059 and 30077.

LCM(30059,30077) = 300591 × 191 × 15831
LCM(30059,30077) = 904084543