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What is the Least Common Multiple of 64525 and 64543?

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 64525 and 64543 is 4164637075.

LCM(64525,64543) = 4164637075

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Least Common Multiple of 64525 and 64543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64525 and 64543, than apply into the LCM equation.

GCF(64525,64543) = 1
LCM(64525,64543) = ( 64525 × 64543) / 1
LCM(64525,64543) = 4164637075 / 1
LCM(64525,64543) = 4164637075

Least Common Multiple (LCM) of 64525 and 64543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64525 and 64543. First we will calculate the prime factors of 64525 and 64543.

Prime Factorization of 64525

Prime factors of 64525 are 5, 29, 89. Prime factorization of 64525 in exponential form is:

64525 = 52 × 291 × 891

Prime Factorization of 64543

Prime factors of 64543 are 19, 43, 79. Prime factorization of 64543 in exponential form is:

64543 = 191 × 431 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 64525 and 64543.

LCM(64525,64543) = 52 × 291 × 891 × 191 × 431 × 791
LCM(64525,64543) = 4164637075