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What is the Least Common Multiple of 64542 and 64547?

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 64542 and 64547 is 4165992474.

LCM(64542,64547) = 4165992474

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Least Common Multiple of 64542 and 64547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64542 and 64547, than apply into the LCM equation.

GCF(64542,64547) = 1
LCM(64542,64547) = ( 64542 × 64547) / 1
LCM(64542,64547) = 4165992474 / 1
LCM(64542,64547) = 4165992474

Least Common Multiple (LCM) of 64542 and 64547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64542 and 64547. First we will calculate the prime factors of 64542 and 64547.

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

Prime Factorization of 64547

Prime factors of 64547 are 7, 9221. Prime factorization of 64547 in exponential form is:

64547 = 71 × 92211

Now multiplying the highest exponent prime factors to calculate the LCM of 64542 and 64547.

LCM(64542,64547) = 21 × 31 × 311 × 3471 × 71 × 92211
LCM(64542,64547) = 4165992474