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What is the Least Common Multiple of 4052 and 4064?

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 4052 and 4064 is 4116832.

LCM(4052,4064) = 4116832

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Least Common Multiple of 4052 and 4064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4052 and 4064, than apply into the LCM equation.

GCF(4052,4064) = 4
LCM(4052,4064) = ( 4052 × 4064) / 4
LCM(4052,4064) = 16467328 / 4
LCM(4052,4064) = 4116832

Least Common Multiple (LCM) of 4052 and 4064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4052 and 4064. First we will calculate the prime factors of 4052 and 4064.

Prime Factorization of 4052

Prime factors of 4052 are 2, 1013. Prime factorization of 4052 in exponential form is:

4052 = 22 × 10131

Prime Factorization of 4064

Prime factors of 4064 are 2, 127. Prime factorization of 4064 in exponential form is:

4064 = 25 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4052 and 4064.

LCM(4052,4064) = 25 × 10131 × 1271
LCM(4052,4064) = 4116832