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What is the Least Common Multiple of 17945 and 17965?

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 17945 and 17965 is 64476385.

LCM(17945,17965) = 64476385

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Least Common Multiple of 17945 and 17965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17945 and 17965, than apply into the LCM equation.

GCF(17945,17965) = 5
LCM(17945,17965) = ( 17945 × 17965) / 5
LCM(17945,17965) = 322381925 / 5
LCM(17945,17965) = 64476385

Least Common Multiple (LCM) of 17945 and 17965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17945 and 17965. First we will calculate the prime factors of 17945 and 17965.

Prime Factorization of 17945

Prime factors of 17945 are 5, 37, 97. Prime factorization of 17945 in exponential form is:

17945 = 51 × 371 × 971

Prime Factorization of 17965

Prime factors of 17965 are 5, 3593. Prime factorization of 17965 in exponential form is:

17965 = 51 × 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 17945 and 17965.

LCM(17945,17965) = 51 × 371 × 971 × 35931
LCM(17945,17965) = 64476385