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What is the Least Common Multiple of 65675 and 65685?

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 65675 and 65685 is 862772475.

LCM(65675,65685) = 862772475

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Least Common Multiple of 65675 and 65685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65675 and 65685, than apply into the LCM equation.

GCF(65675,65685) = 5
LCM(65675,65685) = ( 65675 × 65685) / 5
LCM(65675,65685) = 4313862375 / 5
LCM(65675,65685) = 862772475

Least Common Multiple (LCM) of 65675 and 65685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65675 and 65685. First we will calculate the prime factors of 65675 and 65685.

Prime Factorization of 65675

Prime factors of 65675 are 5, 37, 71. Prime factorization of 65675 in exponential form is:

65675 = 52 × 371 × 711

Prime Factorization of 65685

Prime factors of 65685 are 3, 5, 29, 151. Prime factorization of 65685 in exponential form is:

65685 = 31 × 51 × 291 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 65675 and 65685.

LCM(65675,65685) = 52 × 371 × 711 × 31 × 291 × 1511
LCM(65675,65685) = 862772475