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What is the Least Common Multiple of 65096 and 65101?

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 65096 and 65101 is 4237814696.

LCM(65096,65101) = 4237814696

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Least Common Multiple of 65096 and 65101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65096 and 65101, than apply into the LCM equation.

GCF(65096,65101) = 1
LCM(65096,65101) = ( 65096 × 65101) / 1
LCM(65096,65101) = 4237814696 / 1
LCM(65096,65101) = 4237814696

Least Common Multiple (LCM) of 65096 and 65101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65096 and 65101. First we will calculate the prime factors of 65096 and 65101.

Prime Factorization of 65096

Prime factors of 65096 are 2, 79, 103. Prime factorization of 65096 in exponential form is:

65096 = 23 × 791 × 1031

Prime Factorization of 65101

Prime factors of 65101 are 65101. Prime factorization of 65101 in exponential form is:

65101 = 651011

Now multiplying the highest exponent prime factors to calculate the LCM of 65096 and 65101.

LCM(65096,65101) = 23 × 791 × 1031 × 651011
LCM(65096,65101) = 4237814696