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What is the Least Common Multiple of 64518 and 64532?

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 64518 and 64532 is 2081737788.

LCM(64518,64532) = 2081737788

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Least Common Multiple of 64518 and 64532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64518 and 64532, than apply into the LCM equation.

GCF(64518,64532) = 2
LCM(64518,64532) = ( 64518 × 64532) / 2
LCM(64518,64532) = 4163475576 / 2
LCM(64518,64532) = 2081737788

Least Common Multiple (LCM) of 64518 and 64532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64518 and 64532. First we will calculate the prime factors of 64518 and 64532.

Prime Factorization of 64518

Prime factors of 64518 are 2, 3, 10753. Prime factorization of 64518 in exponential form is:

64518 = 21 × 31 × 107531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 64518 and 64532.

LCM(64518,64532) = 22 × 31 × 107531 × 131 × 171 × 731
LCM(64518,64532) = 2081737788