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What is the Least Common Multiple of 70567 and 70574?

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 70567 and 70574 is 711456494.

LCM(70567,70574) = 711456494

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Least Common Multiple of 70567 and 70574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70567 and 70574, than apply into the LCM equation.

GCF(70567,70574) = 7
LCM(70567,70574) = ( 70567 × 70574) / 7
LCM(70567,70574) = 4980195458 / 7
LCM(70567,70574) = 711456494

Least Common Multiple (LCM) of 70567 and 70574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70567 and 70574. First we will calculate the prime factors of 70567 and 70574.

Prime Factorization of 70567

Prime factors of 70567 are 7, 17, 593. Prime factorization of 70567 in exponential form is:

70567 = 71 × 171 × 5931

Prime Factorization of 70574

Prime factors of 70574 are 2, 7, 71. Prime factorization of 70574 in exponential form is:

70574 = 21 × 71 × 712

Now multiplying the highest exponent prime factors to calculate the LCM of 70567 and 70574.

LCM(70567,70574) = 71 × 171 × 5931 × 21 × 712
LCM(70567,70574) = 711456494