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What is the Least Common Multiple of 64477 and 64482?

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 64477 and 64482 is 4157605914.

LCM(64477,64482) = 4157605914

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Least Common Multiple of 64477 and 64482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64477 and 64482, than apply into the LCM equation.

GCF(64477,64482) = 1
LCM(64477,64482) = ( 64477 × 64482) / 1
LCM(64477,64482) = 4157605914 / 1
LCM(64477,64482) = 4157605914

Least Common Multiple (LCM) of 64477 and 64482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64477 and 64482. First we will calculate the prime factors of 64477 and 64482.

Prime Factorization of 64477

Prime factors of 64477 are 7, 61, 151. Prime factorization of 64477 in exponential form is:

64477 = 71 × 611 × 1511

Prime Factorization of 64482

Prime factors of 64482 are 2, 3, 11, 977. Prime factorization of 64482 in exponential form is:

64482 = 21 × 31 × 111 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 64477 and 64482.

LCM(64477,64482) = 71 × 611 × 1511 × 21 × 31 × 111 × 9771
LCM(64477,64482) = 4157605914