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What is the Least Common Multiple of 64534 and 64542?

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 64534 and 64542 is 2082576714.

LCM(64534,64542) = 2082576714

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Least Common Multiple of 64534 and 64542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64534 and 64542, than apply into the LCM equation.

GCF(64534,64542) = 2
LCM(64534,64542) = ( 64534 × 64542) / 2
LCM(64534,64542) = 4165153428 / 2
LCM(64534,64542) = 2082576714

Least Common Multiple (LCM) of 64534 and 64542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64534 and 64542. First we will calculate the prime factors of 64534 and 64542.

Prime Factorization of 64534

Prime factors of 64534 are 2, 41, 787. Prime factorization of 64534 in exponential form is:

64534 = 21 × 411 × 7871

Prime Factorization of 64542

Prime factors of 64542 are 2, 3, 31, 347. Prime factorization of 64542 in exponential form is:

64542 = 21 × 31 × 311 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 64534 and 64542.

LCM(64534,64542) = 21 × 411 × 7871 × 31 × 311 × 3471
LCM(64534,64542) = 2082576714