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What is the Least Common Multiple of 65920 and 65937?

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 65920 and 65937 is 4346567040.

LCM(65920,65937) = 4346567040

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Least Common Multiple of 65920 and 65937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65920 and 65937, than apply into the LCM equation.

GCF(65920,65937) = 1
LCM(65920,65937) = ( 65920 × 65937) / 1
LCM(65920,65937) = 4346567040 / 1
LCM(65920,65937) = 4346567040

Least Common Multiple (LCM) of 65920 and 65937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65920 and 65937. First we will calculate the prime factors of 65920 and 65937.

Prime Factorization of 65920

Prime factors of 65920 are 2, 5, 103. Prime factorization of 65920 in exponential form is:

65920 = 27 × 51 × 1031

Prime Factorization of 65937

Prime factors of 65937 are 3, 31, 709. Prime factorization of 65937 in exponential form is:

65937 = 31 × 311 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 65920 and 65937.

LCM(65920,65937) = 27 × 51 × 1031 × 31 × 311 × 7091
LCM(65920,65937) = 4346567040