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What is the Least Common Multiple of 65923 and 65939?

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 65923 and 65939 is 4346896697.

LCM(65923,65939) = 4346896697

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Least Common Multiple of 65923 and 65939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65923 and 65939, than apply into the LCM equation.

GCF(65923,65939) = 1
LCM(65923,65939) = ( 65923 × 65939) / 1
LCM(65923,65939) = 4346896697 / 1
LCM(65923,65939) = 4346896697

Least Common Multiple (LCM) of 65923 and 65939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65923 and 65939. First we will calculate the prime factors of 65923 and 65939.

Prime Factorization of 65923

Prime factors of 65923 are 11, 13, 461. Prime factorization of 65923 in exponential form is:

65923 = 111 × 131 × 4611

Prime Factorization of 65939

Prime factors of 65939 are 233, 283. Prime factorization of 65939 in exponential form is:

65939 = 2331 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 65923 and 65939.

LCM(65923,65939) = 111 × 131 × 4611 × 2331 × 2831
LCM(65923,65939) = 4346896697