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What is the Least Common Multiple of 17362 and 17370?

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 17362 and 17370 is 150788970.

LCM(17362,17370) = 150788970

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Least Common Multiple of 17362 and 17370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17362 and 17370, than apply into the LCM equation.

GCF(17362,17370) = 2
LCM(17362,17370) = ( 17362 × 17370) / 2
LCM(17362,17370) = 301577940 / 2
LCM(17362,17370) = 150788970

Least Common Multiple (LCM) of 17362 and 17370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17362 and 17370. First we will calculate the prime factors of 17362 and 17370.

Prime Factorization of 17362

Prime factors of 17362 are 2, 8681. Prime factorization of 17362 in exponential form is:

17362 = 21 × 86811

Prime Factorization of 17370

Prime factors of 17370 are 2, 3, 5, 193. Prime factorization of 17370 in exponential form is:

17370 = 21 × 32 × 51 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 17362 and 17370.

LCM(17362,17370) = 21 × 86811 × 32 × 51 × 1931
LCM(17362,17370) = 150788970