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What is the Least Common Multiple of 64532 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 64532 and 64542 is 2082512172.

LCM(64532,64542) = 2082512172

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Least Common Multiple of 64532 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 64532 and 64542, than apply into the LCM equation.

GCF(64532,64542) = 2
LCM(64532,64542) = ( 64532 × 64542) / 2
LCM(64532,64542) = 4165024344 / 2
LCM(64532,64542) = 2082512172

Least Common Multiple (LCM) of 64532 and 64542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64532 and 64542. First we will calculate the prime factors of 64532 and 64542.

Prime Factorization of 64532

Prime factors of 64532 are 2, 13, 17, 73. Prime factorization of 64532 in exponential form is:

64532 = 22 × 131 × 171 × 731

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 64532 and 64542.

LCM(64532,64542) = 22 × 131 × 171 × 731 × 31 × 311 × 3471
LCM(64532,64542) = 2082512172