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What is the Least Common Multiple of 65064 and 65076?

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 65064 and 65076 is 352842072.

LCM(65064,65076) = 352842072

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Least Common Multiple of 65064 and 65076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65064 and 65076, than apply into the LCM equation.

GCF(65064,65076) = 12
LCM(65064,65076) = ( 65064 × 65076) / 12
LCM(65064,65076) = 4234104864 / 12
LCM(65064,65076) = 352842072

Least Common Multiple (LCM) of 65064 and 65076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65064 and 65076. First we will calculate the prime factors of 65064 and 65076.

Prime Factorization of 65064

Prime factors of 65064 are 2, 3, 2711. Prime factorization of 65064 in exponential form is:

65064 = 23 × 31 × 27111

Prime Factorization of 65076

Prime factors of 65076 are 2, 3, 11, 17, 29. Prime factorization of 65076 in exponential form is:

65076 = 22 × 31 × 111 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 65064 and 65076.

LCM(65064,65076) = 23 × 31 × 27111 × 111 × 171 × 291
LCM(65064,65076) = 352842072