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What is the Least Common Multiple of 65935 and 65955?

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 65935 and 65955 is 869748585.

LCM(65935,65955) = 869748585

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Least Common Multiple of 65935 and 65955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65935 and 65955, than apply into the LCM equation.

GCF(65935,65955) = 5
LCM(65935,65955) = ( 65935 × 65955) / 5
LCM(65935,65955) = 4348742925 / 5
LCM(65935,65955) = 869748585

Least Common Multiple (LCM) of 65935 and 65955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65935 and 65955. First we will calculate the prime factors of 65935 and 65955.

Prime Factorization of 65935

Prime factors of 65935 are 5, 13187. Prime factorization of 65935 in exponential form is:

65935 = 51 × 131871

Prime Factorization of 65955

Prime factors of 65955 are 3, 5, 4397. Prime factorization of 65955 in exponential form is:

65955 = 31 × 51 × 43971

Now multiplying the highest exponent prime factors to calculate the LCM of 65935 and 65955.

LCM(65935,65955) = 51 × 131871 × 31 × 43971
LCM(65935,65955) = 869748585