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What is the Least Common Multiple of 64809 and 64820?

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 64809 and 64820 is 4200919380.

LCM(64809,64820) = 4200919380

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Least Common Multiple of 64809 and 64820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64809 and 64820, than apply into the LCM equation.

GCF(64809,64820) = 1
LCM(64809,64820) = ( 64809 × 64820) / 1
LCM(64809,64820) = 4200919380 / 1
LCM(64809,64820) = 4200919380

Least Common Multiple (LCM) of 64809 and 64820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64809 and 64820. First we will calculate the prime factors of 64809 and 64820.

Prime Factorization of 64809

Prime factors of 64809 are 3, 19, 379. Prime factorization of 64809 in exponential form is:

64809 = 32 × 191 × 3791

Prime Factorization of 64820

Prime factors of 64820 are 2, 5, 7, 463. Prime factorization of 64820 in exponential form is:

64820 = 22 × 51 × 71 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 64809 and 64820.

LCM(64809,64820) = 32 × 191 × 3791 × 22 × 51 × 71 × 4631
LCM(64809,64820) = 4200919380