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What is the Least Common Multiple of 65602 and 65611?

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 65602 and 65611 is 4304212822.

LCM(65602,65611) = 4304212822

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Least Common Multiple of 65602 and 65611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65602 and 65611, than apply into the LCM equation.

GCF(65602,65611) = 1
LCM(65602,65611) = ( 65602 × 65611) / 1
LCM(65602,65611) = 4304212822 / 1
LCM(65602,65611) = 4304212822

Least Common Multiple (LCM) of 65602 and 65611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65602 and 65611. First we will calculate the prime factors of 65602 and 65611.

Prime Factorization of 65602

Prime factors of 65602 are 2, 32801. Prime factorization of 65602 in exponential form is:

65602 = 21 × 328011

Prime Factorization of 65611

Prime factors of 65611 are 7, 13, 103. Prime factorization of 65611 in exponential form is:

65611 = 72 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 65602 and 65611.

LCM(65602,65611) = 21 × 328011 × 72 × 131 × 1031
LCM(65602,65611) = 4304212822