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What is the Least Common Multiple of 64585 and 64603?

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 64585 and 64603 is 4172384755.

LCM(64585,64603) = 4172384755

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Least Common Multiple of 64585 and 64603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64585 and 64603, than apply into the LCM equation.

GCF(64585,64603) = 1
LCM(64585,64603) = ( 64585 × 64603) / 1
LCM(64585,64603) = 4172384755 / 1
LCM(64585,64603) = 4172384755

Least Common Multiple (LCM) of 64585 and 64603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64585 and 64603. First we will calculate the prime factors of 64585 and 64603.

Prime Factorization of 64585

Prime factors of 64585 are 5, 12917. Prime factorization of 64585 in exponential form is:

64585 = 51 × 129171

Prime Factorization of 64603

Prime factors of 64603 are 7, 11, 839. Prime factorization of 64603 in exponential form is:

64603 = 71 × 111 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 64585 and 64603.

LCM(64585,64603) = 51 × 129171 × 71 × 111 × 8391
LCM(64585,64603) = 4172384755