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What is the Least Common Multiple of 64820 and 64834?

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 64820 and 64834 is 300181420.

LCM(64820,64834) = 300181420

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Least Common Multiple of 64820 and 64834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64820 and 64834, than apply into the LCM equation.

GCF(64820,64834) = 14
LCM(64820,64834) = ( 64820 × 64834) / 14
LCM(64820,64834) = 4202539880 / 14
LCM(64820,64834) = 300181420

Least Common Multiple (LCM) of 64820 and 64834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64820 and 64834. First we will calculate the prime factors of 64820 and 64834.

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

Prime Factorization of 64834

Prime factors of 64834 are 2, 7, 11, 421. Prime factorization of 64834 in exponential form is:

64834 = 21 × 71 × 111 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 64820 and 64834.

LCM(64820,64834) = 22 × 51 × 71 × 4631 × 111 × 4211
LCM(64820,64834) = 300181420