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What is the Least Common Multiple of 30048 and 30059?

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 30048 and 30059 is 903212832.

LCM(30048,30059) = 903212832

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Least Common Multiple of 30048 and 30059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30048 and 30059, than apply into the LCM equation.

GCF(30048,30059) = 1
LCM(30048,30059) = ( 30048 × 30059) / 1
LCM(30048,30059) = 903212832 / 1
LCM(30048,30059) = 903212832

Least Common Multiple (LCM) of 30048 and 30059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30048 and 30059. First we will calculate the prime factors of 30048 and 30059.

Prime Factorization of 30048

Prime factors of 30048 are 2, 3, 313. Prime factorization of 30048 in exponential form is:

30048 = 25 × 31 × 3131

Prime Factorization of 30059

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

30059 = 300591

Now multiplying the highest exponent prime factors to calculate the LCM of 30048 and 30059.

LCM(30048,30059) = 25 × 31 × 3131 × 300591
LCM(30048,30059) = 903212832