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What is the Least Common Multiple of 64603 and 64607?

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 64603 and 64607 is 4173806021.

LCM(64603,64607) = 4173806021

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Least Common Multiple of 64603 and 64607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64603 and 64607, than apply into the LCM equation.

GCF(64603,64607) = 1
LCM(64603,64607) = ( 64603 × 64607) / 1
LCM(64603,64607) = 4173806021 / 1
LCM(64603,64607) = 4173806021

Least Common Multiple (LCM) of 64603 and 64607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64603 and 64607. First we will calculate the prime factors of 64603 and 64607.

Prime Factorization of 64603

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

64603 = 71 × 111 × 8391

Prime Factorization of 64607

Prime factors of 64607 are 23, 53. Prime factorization of 64607 in exponential form is:

64607 = 231 × 532

Now multiplying the highest exponent prime factors to calculate the LCM of 64603 and 64607.

LCM(64603,64607) = 71 × 111 × 8391 × 231 × 532
LCM(64603,64607) = 4173806021