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What is the Least Common Multiple of 9574 and 9590?

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 9574 and 9590 is 45907330.

LCM(9574,9590) = 45907330

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Least Common Multiple of 9574 and 9590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9574 and 9590, than apply into the LCM equation.

GCF(9574,9590) = 2
LCM(9574,9590) = ( 9574 × 9590) / 2
LCM(9574,9590) = 91814660 / 2
LCM(9574,9590) = 45907330

Least Common Multiple (LCM) of 9574 and 9590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9574 and 9590. First we will calculate the prime factors of 9574 and 9590.

Prime Factorization of 9574

Prime factors of 9574 are 2, 4787. Prime factorization of 9574 in exponential form is:

9574 = 21 × 47871

Prime Factorization of 9590

Prime factors of 9590 are 2, 5, 7, 137. Prime factorization of 9590 in exponential form is:

9590 = 21 × 51 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9574 and 9590.

LCM(9574,9590) = 21 × 47871 × 51 × 71 × 1371
LCM(9574,9590) = 45907330