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What is the Least Common Multiple of 64459 and 64470?

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 64459 and 64470 is 4155671730.

LCM(64459,64470) = 4155671730

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Least Common Multiple of 64459 and 64470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64459 and 64470, than apply into the LCM equation.

GCF(64459,64470) = 1
LCM(64459,64470) = ( 64459 × 64470) / 1
LCM(64459,64470) = 4155671730 / 1
LCM(64459,64470) = 4155671730

Least Common Multiple (LCM) of 64459 and 64470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64459 and 64470. First we will calculate the prime factors of 64459 and 64470.

Prime Factorization of 64459

Prime factors of 64459 are 73, 883. Prime factorization of 64459 in exponential form is:

64459 = 731 × 8831

Prime Factorization of 64470

Prime factors of 64470 are 2, 3, 5, 7, 307. Prime factorization of 64470 in exponential form is:

64470 = 21 × 31 × 51 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 64459 and 64470.

LCM(64459,64470) = 731 × 8831 × 21 × 31 × 51 × 71 × 3071
LCM(64459,64470) = 4155671730