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What is the Least Common Multiple of 6570 and 6574?

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 6570 and 6574 is 21595590.

LCM(6570,6574) = 21595590

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Least Common Multiple of 6570 and 6574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6570 and 6574, than apply into the LCM equation.

GCF(6570,6574) = 2
LCM(6570,6574) = ( 6570 × 6574) / 2
LCM(6570,6574) = 43191180 / 2
LCM(6570,6574) = 21595590

Least Common Multiple (LCM) of 6570 and 6574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6570 and 6574. First we will calculate the prime factors of 6570 and 6574.

Prime Factorization of 6570

Prime factors of 6570 are 2, 3, 5, 73. Prime factorization of 6570 in exponential form is:

6570 = 21 × 32 × 51 × 731

Prime Factorization of 6574

Prime factors of 6574 are 2, 19, 173. Prime factorization of 6574 in exponential form is:

6574 = 21 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6570 and 6574.

LCM(6570,6574) = 21 × 32 × 51 × 731 × 191 × 1731
LCM(6570,6574) = 21595590