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What is the Least Common Multiple of 64834 and 64848?

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 64834 and 64848 is 300311088.

LCM(64834,64848) = 300311088

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Least Common Multiple of 64834 and 64848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64834 and 64848, than apply into the LCM equation.

GCF(64834,64848) = 14
LCM(64834,64848) = ( 64834 × 64848) / 14
LCM(64834,64848) = 4204355232 / 14
LCM(64834,64848) = 300311088

Least Common Multiple (LCM) of 64834 and 64848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64834 and 64848. First we will calculate the prime factors of 64834 and 64848.

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

Prime Factorization of 64848

Prime factors of 64848 are 2, 3, 7, 193. Prime factorization of 64848 in exponential form is:

64848 = 24 × 31 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 64834 and 64848.

LCM(64834,64848) = 24 × 71 × 111 × 4211 × 31 × 1931
LCM(64834,64848) = 300311088