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What is the Least Common Multiple of 64053 and 64064?

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 64053 and 64064 is 373044672.

LCM(64053,64064) = 373044672

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Least Common Multiple of 64053 and 64064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64053 and 64064, than apply into the LCM equation.

GCF(64053,64064) = 11
LCM(64053,64064) = ( 64053 × 64064) / 11
LCM(64053,64064) = 4103491392 / 11
LCM(64053,64064) = 373044672

Least Common Multiple (LCM) of 64053 and 64064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64053 and 64064. First we will calculate the prime factors of 64053 and 64064.

Prime Factorization of 64053

Prime factors of 64053 are 3, 11, 647. Prime factorization of 64053 in exponential form is:

64053 = 32 × 111 × 6471

Prime Factorization of 64064

Prime factors of 64064 are 2, 7, 11, 13. Prime factorization of 64064 in exponential form is:

64064 = 26 × 71 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 64053 and 64064.

LCM(64053,64064) = 32 × 111 × 6471 × 26 × 71 × 131
LCM(64053,64064) = 373044672