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What is the Least Common Multiple of 64740 and 64745?

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 64740 and 64745 is 838318260.

LCM(64740,64745) = 838318260

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Least Common Multiple of 64740 and 64745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64740 and 64745, than apply into the LCM equation.

GCF(64740,64745) = 5
LCM(64740,64745) = ( 64740 × 64745) / 5
LCM(64740,64745) = 4191591300 / 5
LCM(64740,64745) = 838318260

Least Common Multiple (LCM) of 64740 and 64745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64740 and 64745. First we will calculate the prime factors of 64740 and 64745.

Prime Factorization of 64740

Prime factors of 64740 are 2, 3, 5, 13, 83. Prime factorization of 64740 in exponential form is:

64740 = 22 × 31 × 51 × 131 × 831

Prime Factorization of 64745

Prime factors of 64745 are 5, 23, 563. Prime factorization of 64745 in exponential form is:

64745 = 51 × 231 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 64740 and 64745.

LCM(64740,64745) = 22 × 31 × 51 × 131 × 831 × 231 × 5631
LCM(64740,64745) = 838318260