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What is the Least Common Multiple of 64132 and 64143?

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 64132 and 64143 is 4113618876.

LCM(64132,64143) = 4113618876

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Least Common Multiple of 64132 and 64143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64132 and 64143, than apply into the LCM equation.

GCF(64132,64143) = 1
LCM(64132,64143) = ( 64132 × 64143) / 1
LCM(64132,64143) = 4113618876 / 1
LCM(64132,64143) = 4113618876

Least Common Multiple (LCM) of 64132 and 64143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64132 and 64143. First we will calculate the prime factors of 64132 and 64143.

Prime Factorization of 64132

Prime factors of 64132 are 2, 16033. Prime factorization of 64132 in exponential form is:

64132 = 22 × 160331

Prime Factorization of 64143

Prime factors of 64143 are 3, 7127. Prime factorization of 64143 in exponential form is:

64143 = 32 × 71271

Now multiplying the highest exponent prime factors to calculate the LCM of 64132 and 64143.

LCM(64132,64143) = 22 × 160331 × 32 × 71271
LCM(64132,64143) = 4113618876