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What is the Least Common Multiple of 3048 and 3059?

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 3048 and 3059 is 9323832.

LCM(3048,3059) = 9323832

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Least Common Multiple of 3048 and 3059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3048 and 3059, than apply into the LCM equation.

GCF(3048,3059) = 1
LCM(3048,3059) = ( 3048 × 3059) / 1
LCM(3048,3059) = 9323832 / 1
LCM(3048,3059) = 9323832

Least Common Multiple (LCM) of 3048 and 3059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3048 and 3059. First we will calculate the prime factors of 3048 and 3059.

Prime Factorization of 3048

Prime factors of 3048 are 2, 3, 127. Prime factorization of 3048 in exponential form is:

3048 = 23 × 31 × 1271

Prime Factorization of 3059

Prime factors of 3059 are 7, 19, 23. Prime factorization of 3059 in exponential form is:

3059 = 71 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3048 and 3059.

LCM(3048,3059) = 23 × 31 × 1271 × 71 × 191 × 231
LCM(3048,3059) = 9323832