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What is the Least Common Multiple of 65908 and 65920?

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 65908 and 65920 is 1086163840.

LCM(65908,65920) = 1086163840

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Least Common Multiple of 65908 and 65920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65908 and 65920, than apply into the LCM equation.

GCF(65908,65920) = 4
LCM(65908,65920) = ( 65908 × 65920) / 4
LCM(65908,65920) = 4344655360 / 4
LCM(65908,65920) = 1086163840

Least Common Multiple (LCM) of 65908 and 65920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65908 and 65920. First we will calculate the prime factors of 65908 and 65920.

Prime Factorization of 65908

Prime factors of 65908 are 2, 16477. Prime factorization of 65908 in exponential form is:

65908 = 22 × 164771

Prime Factorization of 65920

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

65920 = 27 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 65908 and 65920.

LCM(65908,65920) = 27 × 164771 × 51 × 1031
LCM(65908,65920) = 1086163840