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What is the Least Common Multiple of 65169 and 65174?

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 65169 and 65174 is 4247324406.

LCM(65169,65174) = 4247324406

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Least Common Multiple of 65169 and 65174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65169 and 65174, than apply into the LCM equation.

GCF(65169,65174) = 1
LCM(65169,65174) = ( 65169 × 65174) / 1
LCM(65169,65174) = 4247324406 / 1
LCM(65169,65174) = 4247324406

Least Common Multiple (LCM) of 65169 and 65174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65169 and 65174. First we will calculate the prime factors of 65169 and 65174.

Prime Factorization of 65169

Prime factors of 65169 are 3, 13, 557. Prime factorization of 65169 in exponential form is:

65169 = 32 × 131 × 5571

Prime Factorization of 65174

Prime factors of 65174 are 2, 32587. Prime factorization of 65174 in exponential form is:

65174 = 21 × 325871

Now multiplying the highest exponent prime factors to calculate the LCM of 65169 and 65174.

LCM(65169,65174) = 32 × 131 × 5571 × 21 × 325871
LCM(65169,65174) = 4247324406