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What is the Least Common Multiple of 64810 and 64825?

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 64810 and 64825 is 840261650.

LCM(64810,64825) = 840261650

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Least Common Multiple of 64810 and 64825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64810 and 64825, than apply into the LCM equation.

GCF(64810,64825) = 5
LCM(64810,64825) = ( 64810 × 64825) / 5
LCM(64810,64825) = 4201308250 / 5
LCM(64810,64825) = 840261650

Least Common Multiple (LCM) of 64810 and 64825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64810 and 64825. First we will calculate the prime factors of 64810 and 64825.

Prime Factorization of 64810

Prime factors of 64810 are 2, 5, 6481. Prime factorization of 64810 in exponential form is:

64810 = 21 × 51 × 64811

Prime Factorization of 64825

Prime factors of 64825 are 5, 2593. Prime factorization of 64825 in exponential form is:

64825 = 52 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 64810 and 64825.

LCM(64810,64825) = 21 × 52 × 64811 × 25931
LCM(64810,64825) = 840261650