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What is the Least Common Multiple of 64494 and 64499?

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 64494 and 64499 is 4159798506.

LCM(64494,64499) = 4159798506

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Least Common Multiple of 64494 and 64499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64494 and 64499, than apply into the LCM equation.

GCF(64494,64499) = 1
LCM(64494,64499) = ( 64494 × 64499) / 1
LCM(64494,64499) = 4159798506 / 1
LCM(64494,64499) = 4159798506

Least Common Multiple (LCM) of 64494 and 64499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64494 and 64499. First we will calculate the prime factors of 64494 and 64499.

Prime Factorization of 64494

Prime factors of 64494 are 2, 3, 3583. Prime factorization of 64494 in exponential form is:

64494 = 21 × 32 × 35831

Prime Factorization of 64499

Prime factors of 64499 are 64499. Prime factorization of 64499 in exponential form is:

64499 = 644991

Now multiplying the highest exponent prime factors to calculate the LCM of 64494 and 64499.

LCM(64494,64499) = 21 × 32 × 35831 × 644991
LCM(64494,64499) = 4159798506