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What is the Least Common Multiple of 65844 and 65853?

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 65844 and 65853 is 481780548.

LCM(65844,65853) = 481780548

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Least Common Multiple of 65844 and 65853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65844 and 65853, than apply into the LCM equation.

GCF(65844,65853) = 9
LCM(65844,65853) = ( 65844 × 65853) / 9
LCM(65844,65853) = 4336024932 / 9
LCM(65844,65853) = 481780548

Least Common Multiple (LCM) of 65844 and 65853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65844 and 65853. First we will calculate the prime factors of 65844 and 65853.

Prime Factorization of 65844

Prime factors of 65844 are 2, 3, 31, 59. Prime factorization of 65844 in exponential form is:

65844 = 22 × 32 × 311 × 591

Prime Factorization of 65853

Prime factors of 65853 are 3, 271. Prime factorization of 65853 in exponential form is:

65853 = 35 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 65844 and 65853.

LCM(65844,65853) = 22 × 35 × 311 × 591 × 2711
LCM(65844,65853) = 481780548