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What is the Least Common Multiple of 64555 and 64565?

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 64555 and 64565 is 833598715.

LCM(64555,64565) = 833598715

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Least Common Multiple of 64555 and 64565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64555 and 64565, than apply into the LCM equation.

GCF(64555,64565) = 5
LCM(64555,64565) = ( 64555 × 64565) / 5
LCM(64555,64565) = 4167993575 / 5
LCM(64555,64565) = 833598715

Least Common Multiple (LCM) of 64555 and 64565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64555 and 64565. First we will calculate the prime factors of 64555 and 64565.

Prime Factorization of 64555

Prime factors of 64555 are 5, 12911. Prime factorization of 64555 in exponential form is:

64555 = 51 × 129111

Prime Factorization of 64565

Prime factors of 64565 are 5, 37, 349. Prime factorization of 64565 in exponential form is:

64565 = 51 × 371 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 64555 and 64565.

LCM(64555,64565) = 51 × 129111 × 371 × 3491
LCM(64555,64565) = 833598715