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What is the Least Common Multiple of 65060 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 65060 and 65076 is 1058461140.

LCM(65060,65076) = 1058461140

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Least Common Multiple of 65060 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 65060 and 65076, than apply into the LCM equation.

GCF(65060,65076) = 4
LCM(65060,65076) = ( 65060 × 65076) / 4
LCM(65060,65076) = 4233844560 / 4
LCM(65060,65076) = 1058461140

Least Common Multiple (LCM) of 65060 and 65076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65060 and 65076. First we will calculate the prime factors of 65060 and 65076.

Prime Factorization of 65060

Prime factors of 65060 are 2, 5, 3253. Prime factorization of 65060 in exponential form is:

65060 = 22 × 51 × 32531

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 65060 and 65076.

LCM(65060,65076) = 22 × 51 × 32531 × 31 × 111 × 171 × 291
LCM(65060,65076) = 1058461140